NCERT Solutions For Class 8 Maths Chapter 2 Linear Equations In One Variable (EX 2.6) Exercise 2.6
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Mathematics is an important field of study. It can be quite a logical subject. Mathematics is a critical subject for Class 8 students. In order to develop their reasoning ability and critical thinking, children must have a strong grasp of Mathematics at the school level. Students can apply mathematical ideas to solve problems in the real world. Mathematics is used in every sector in some capacity. A mathematical foundation may help students advance their careers in various fields. Students who apply its principles can pursue careers in Acoustic Consultancy, Actuary, Statistics, Chartered Accountancy, and other related fields. Mathematics is one of the academic curriculum’s core disciplines, and it has been taught in schools since the beginning of students’ scholastic journey. Mathematics’ fundamental concepts are critical for a student’s overall development. Students may utilise the NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.6, to gain a thorough knowledge of the mathematical principles taught in the Class 8 Mathematics curriculum. Students in Class 8 can use the solutions to Class 8 Maths Chapter 2 Exercise 2.6 to help them study for the Senior Secondary Examination in Mathematics. They should pay close attention to the mathematical principles taught in Class 8 in order to do well in the Senior Secondary Mathematics Examination. Students in Class 8 can use the NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.6, to accomplish this. Students may acquire the NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.6, from the Extramarks website.
NCERT Solutions For Class 8 Maths Chapter 2 Linear Equations In One Variable (EX 2.6) Exercise 2.6
Class 8 students may use Extramarks to acquire the NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.6, for their senior secondary examination preparation. Extramarks provides study materials designed to meet the needs of all students. The Extramarks website offers study and learning aids for students in Classes 1 through 12. Students can also use the Extramarks website or mobile application to get study resources for competitive examinations. It enables students to engage in live online sessions from the convenience of their own homes. Extramarks also provides interactive sessions for students to clear up any doubts. These sessions aid students in their studies. Students in Class 8 can attend sessions to get answers to their questions about Class 8 Maths Chapter 2.6.
Students must regularly practice the NCERT solutions to attain high grades in Mathematics. Students must continually study and practice mathematical concepts in order to develop a solid hold on their mathematical abilities. They may use the Extramarks website to review the NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.6. Students must be familiar with Class 8 Maths Chapter 2 Exercise 2.6 in order to effectively comprehend the topics taught in Mathematics Chapter 2 Linear Equations in One Variable. Students are encouraged to use the NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2, available on the Extramarks website. The required learning resources can be downloaded in PDF format from the Extramarks website. Extramarks has made this option available to assist students in a simple and effective manner. The NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.6, in Class 8 Mathematics may also be obtained via the Extramarks website or learning application.
Access NCERT Solutions For Maths Chapter 2 – Linear Equations In One Variable
Students must fully comprehend NCERT Class 8 Maths Chapter 2 Exercise 2.6 Linear Equations in One Variable. This may be done by consistently practising the NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.6 offered by Extramarks. Class 8 Maths Chapter 2 Exercise 2.6 Solutions may assist students in better comprehending the numerous mathematical concepts discussed in Chapter 2 Linear Equations in One Variable of the NCERT Mathematics textbook for Class 8. The NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.6 may be used to prepare for the Senior Secondary Examination of Mathematics. Students can regularly practice enhancing their comprehension of the mathematical concepts required to perform well on the Senior Secondary Examination of Mathematics.
The NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.6, are provided for Class 8 students on the Extramarks website. Extramarks is wellknown for offering students study materials and learning resources to help them achieve their academic goals. Extramarks provide a thorough, detailed breakdown of the syllabus for all classes and boards. It is a website where students from various classes and boards may access pedagogical materials to prepare for examinations. The NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.6, are recommended for Class 8 students preparing for the Senior Secondary Examination of Mathematics. Students should practice the NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.6, on a regular basis to guarantee effective preparation.
Introduction To Class 8 Maths Chapter 2 Exercise 2.6:
Linear Equations in One Variable of Class 8, Chapter 2 of the NCERT Mathematics textbook, introduces various new mathematical formulas. Students must memorise all the formulae taught in the relevant chapter. Formulamemorising may provide students with an edge in the Senior Secondary Mathematics Examination. Students should practice the application of formulas to solve exercise questions based on the NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.6. Students are recommended to go through the learning resources accessible on the Extramarks website for detailed and thorough solutions. To have a clearer understanding of Chapter 2 of the NCERT Mathematics textbook, students should continually practice NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.6. Extramarks provides students with access to the NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.6.
Students must study Class 8 Mathematics Chapter 2 Linear Equations in One Variable, extensively. This may be accomplished by practising the Extramarks’ NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.6 on a regular basis. Mathematics necessitates a great deal of effort to become proficient. Students must understand the importance of understanding the topics discussed in Class 8 Mathematics Chapter 2 Linear Equations in One Variable. Students may find the NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.6, on the Extramarks website.
NCERT Solutions For Class 8
Students must understand each and every topic taught in the curriculum in order to do well in the senior secondary examination. Mathematical principles can be difficult to understand and implement. If students wish to do well in the Mathematics examination, they must practice the exercise questions and answers on a regular basis. Students can practice solving the exercise problems using the NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.6. It is critical to have a solid foundation in Mathematics in order to earn higher marks. Students should be able to thoroughly comprehend each concept, which may be accomplished by consistently solving exercise problems and solutions. This may help students feel more prepared for the Senior Secondary Mathematics Examination. By practising the NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.6, students may feel more confident and familiar with the syllabus.
Furthermore, it improves students’ problemsolving abilities. By regularly practising the NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.6, students can learn to assign questions based on priority, which will help them manage their time for the Senior Secondary Mathematics Examination. Extramarks provide academic tools to help students prepare for a variety of competitive examinations. Citing Extramarks study resources is strongly recommended for exams such as NEET, JEE, CUET, DUET, CAT, AIIMS, and many others. Students who want to take competitive examinations in the future should have a thorough comprehension of mathematical principles because they make up a significant portion of those examinations. To be wellprepared for competitive examinations, Class 8 students must thoroughly study the NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.6. Students can obtain adequate study resources for competitive examinations via the Extramarks website or mobile application.
CBSE Study Materials For Class 8
Students may get study resources for the CBSE board exams through the Extramarks website. Extramarks offers meticulously prepared study resources that comply with the NCERT curriculum and criteria. It is recommended that students practice the NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.6, on a regular basis in order to do well in the senior secondary examination. Students must thoroughly study the chapters, and answering the exercise questions will help them understand the concepts more adequately. The NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.6, may help students better comprehend the numerous Mathematics concepts discussed in Chapter 2. Students can get to them via the Extramarks website or mobile application.
In order to score high marks in the Senior Secondary Examination for Class 8, students must regularly practice the NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.6. Extramarks also offers comprehensive and accurate performance reports to help students track their preparation progress. Students may engage in online live sessions while studying NCERT Class 8 Mathematics Chapter 2 Linear Equations in One Variable for more indepth knowledge of the chapter. They may also access the NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.6, revision notes.
CBSE Study Materials
Students are recommended to study the NCERT exercise problems and solutions in order to prepare for the CBSE Board examination, as the question paper pattern for the respective examination is based on the NCERT curriculum. The CBSE board examination is primarily based on the NCERT curriculum. The CBSE board examination topic weightage must be considered during preparation in order for students to prioritise each topic according to its weightage. The concepts covered in the NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.6, are essential for the Senior Secondary Mathematics Examination. Students can visit the Extramarks website to acquire the NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.6, to help them study for the Class 8 Mathematics examination.
Q.1
$\begin{array}{l}\mathrm{Solve}\mathrm{the}\mathrm{following}\mathrm{equations}.\end{array}$
$\begin{array}{l}1.\text{\hspace{0.17em}}\frac{8\mathrm{x}3}{3\mathrm{x}}=22.\frac{9\mathrm{x}}{76\mathrm{x}}=153.\frac{\mathrm{z}}{\mathrm{z}+15}=\frac{4}{9}\\ 4.\frac{3\mathrm{y}+4}{26\mathrm{y}}=\frac{2}{5}5.\frac{7\mathrm{y}+4}{\mathrm{y}+2}=\frac{\u20134}{3}\end{array}$
Ans
$\begin{array}{l}1.\text{\hspace{0.17em}}\frac{8\mathrm{x}3}{3\mathrm{x}}=2\\ \text{On multiplying both sides by 3x,}\text{we get}\\ \Rightarrow \frac{8\mathrm{x}3}{3\mathrm{x}}\times 3\mathrm{x}=2\times 3\mathrm{x}\\ \Rightarrow 8\mathrm{x}3=6\mathrm{x}\\ \Rightarrow 8\mathrm{x}6\mathrm{x}=3\\ \Rightarrow 2\mathrm{x}=3\\ \Rightarrow \mathrm{x}=\frac{3}{2}\\ 2.\frac{9\mathrm{x}}{76\mathrm{x}}=15\\ \text{On multiplying both sides by}(76\mathrm{x})\text{,}\text{we get}\\ \Rightarrow \frac{9\mathrm{x}}{76\mathrm{x}}\times (76\mathrm{x})=15\times (76\mathrm{x})\\ \Rightarrow 9\mathrm{x}=10590\mathrm{x}\\ \Rightarrow 9\mathrm{x}+90\mathrm{x}=105\\ \Rightarrow 99\mathrm{x}=105\\ \Rightarrow \mathrm{x}=\frac{105}{99}=\frac{35}{33}\\ \Rightarrow \mathrm{x}=\frac{35}{33}\end{array}$
$\begin{array}{l}3.\frac{\mathrm{z}}{\mathrm{z}+15}=\frac{4}{9}\\ \text{On multiplying both sides by}(\text{}\mathrm{z}+15)\text{,}\text{we get}\\ \Rightarrow \frac{\mathrm{z}}{\mathrm{z}+15}\times (\text{}\mathrm{z}+15)=\frac{4}{9}\times (\text{}\mathrm{z}+15)\\ \Rightarrow 9\mathrm{z}=4\times (\mathrm{z}+15)\\ \Rightarrow 9\mathrm{z}=4\mathrm{z}+60\\ \Rightarrow 5\mathrm{z}=60\\ \Rightarrow \mathrm{z}=12\end{array}$
$\begin{array}{l}4.\frac{3\mathrm{y}+4}{26\mathrm{y}}=\frac{2}{5}\\ \text{Multiplying both sides by}(\text{2}\text{6y}),\mathrm{we}\text{\hspace{0.17em}}\mathrm{get}\\ \Rightarrow \frac{3\mathrm{y}+4}{26\mathrm{y}}\times (\text{2}\text{6y})=\frac{2}{5}\times (\text{2}\text{6y})\\ \Rightarrow 3\mathrm{y}+4=\frac{2}{5}\times (\text{2}\text{6y})\\ \text{Multiplying both sides by}5,\mathrm{we}\text{\hspace{0.17em}}\mathrm{get}\\ \Rightarrow 5(3\mathrm{y}+4)=\frac{2}{5}\times (\text{2}\text{6y})\times 5\\ \Rightarrow 5(3\mathrm{y}+4)=2(26\mathrm{y})\\ \Rightarrow 15\mathrm{y}+20=4+12\mathrm{y}\\ \Rightarrow 15\mathrm{y}12\mathrm{y}=420\\ \Rightarrow 3\mathrm{y}=24\\ \Rightarrow \mathrm{y}=8\end{array}$
$\begin{array}{l}5.\frac{7\mathrm{y}+4}{\mathrm{y}+2}=\frac{4}{3}\\ \text{Multiplying both sides by}(\mathrm{y}+2),\mathrm{we}\text{\hspace{0.17em}}\mathrm{get}\\ \Rightarrow \frac{7\mathrm{y}+4}{\mathrm{y}+2}\times (\mathrm{y}+2)=\frac{4}{3}\times (\mathrm{y}+2)\\ \Rightarrow 7\mathrm{y}+4=\frac{4}{3}\times (\mathrm{y}+2)\\ \text{Multiplying both sides by}3,\mathrm{we}\text{\hspace{0.17em}}\mathrm{get}\\ \Rightarrow 3(7\mathrm{y}+4)=4(\mathrm{y}+2)\\ \Rightarrow 21\mathrm{y}+12=4\mathrm{y}8\\ \Rightarrow 21\mathrm{y}+4\mathrm{y}=812\\ \Rightarrow 25\mathrm{y}=20\\ \Rightarrow \mathrm{y}=\frac{20}{25}=\frac{4}{5}\\ \Rightarrow \mathrm{y}=\frac{4}{5}\end{array}$
Q.2 The ages of Hari and Harry are in the ratio 5:7. Four years from now the ratio of their ages will be 3:4. Find their present ages.
Ans
Let the ratio between their ages be x.
Therefore, Hari’s age and Harry’s age will be 5x years and 7x years
Four years later, their ages will be (5x + 4) years and (7x + 4) years.
According to the question, we get
$\begin{array}{l}\frac{5\mathrm{x}+4}{7\mathrm{x}+4}=\frac{3}{4}\\ \text{Multiplying both the sides by}(7\mathrm{x}+4)\text{,we get}\\ \Rightarrow \frac{5\mathrm{x}+4}{7\mathrm{x}+4}\times (7\mathrm{x}+4)=\frac{3}{4}\times (7\mathrm{x}+4)\\ \Rightarrow 5\mathrm{x}+4=\frac{3}{4}\times (7\mathrm{x}+4)\\ \text{Multiplying both the sides by}4\text{,we get}\\ \Rightarrow (5\mathrm{x}+4)\times 4=\frac{3}{4}\times (7\mathrm{x}+4)\times 4\\ \Rightarrow 20\mathrm{x}+16=21\mathrm{x}+12\\ \Rightarrow 20\mathrm{x}21\mathrm{x}=1216\\ \Rightarrow \mathrm{x}=4\\ \Rightarrow \mathrm{x}=4\\ \\ \therefore \mathrm{Hari}\u2018\mathrm{s}\text{\hspace{0.17em}}\mathrm{age}=5\mathrm{x}\text{}\mathrm{years}=20\text{}\mathrm{years}\text{\hspace{0.17em}and}\\ \text{Harry\u2019s age}=\text{7x years}=\text{28 years.}\end{array}$
Q.3 The denominator of a rational number is greater than its numerator by 8. If the numerator is increased by 17 and the denominator is decreased by 1, the number obtained is 3/2.Find the rational number.
Ans
Let the numerator of the rational number be x.
Therefore, its denominator will be x + 8.
$\begin{array}{l}\therefore \text{The rational number is}\frac{\mathrm{x}}{\mathrm{x}+8}.\\ \text{According to the question,we get}\\ \frac{\mathrm{x}+17}{\mathrm{x}+81}=\frac{3}{2}\\ \Rightarrow \frac{\mathrm{x}+17}{\mathrm{x}+7}=\frac{3}{2}\\ \text{Multiplying both the sides by}\left(\text{x+7}\right),\mathrm{we}\text{\hspace{0.17em}}\mathrm{get}\\ \Rightarrow \frac{\mathrm{x}+17}{\mathrm{x}+7}\times \left(\text{x+7}\right)=\frac{3}{2}\times \left(\text{x+7}\right)\\ \Rightarrow \mathrm{x}+17=\frac{3}{2}\times \left(\text{x+7}\right)\\ \text{Multiplying both the sides by 2},\mathrm{we}\text{\hspace{0.17em}}\mathrm{get}\\ \Rightarrow (\mathrm{x}+17)\times 2=\frac{3}{2}\times \left(\text{x+7}\right)\times 2\\ \Rightarrow 2\mathrm{x}+34=3\mathrm{x}+21\\ \Rightarrow 2\mathrm{x}3\mathrm{x}=2134\\ \Rightarrow \mathrm{x}=13\\ \Rightarrow \mathrm{x}=13\end{array}$
Therefore, the numerator is 13 and the denominator is x+8=21.
Hence, the rational number is
$\frac{13}{21}$
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FAQs (Frequently Asked Questions)
1. How can students prepare well for the Senior Secondary Examination of Mathematics?
Students must thoroughly understand every concept covered in Chapter 2 of the NCERT Mathematics textbook of Class 8 in order to perform well in the senior secondary examination. Students should consider the importance of the marks allotted to each topic in the concerned curriculum when studying for the senior secondary examination. They should try to understand the concepts taught in the exercises to adequately prepare for the final exam. In order to effectively prepare for the senior secondary examination, students must stick to a timetable that devotes considerable time to each topic covered in the curriculum. Students can use the NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.6 to help themselves prepare.
2. Why are students recommended to access study material from Extramarks for preparation for examinations?
Extramarks is highly recommended for students’ preparation since it accommodates the learning needs of students from different courses. Students of all classes can use the Extramarks website to acquire NCERT solutions for all disciplines. Extramarks’ study material is updated on a regular basis to meet CBSE board criteria. Students in Class 8 should prepare using the NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.6.