Graphical Solutions of Pair of Linear Equations in Two Variables
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Q1
The coordinates of the points where the lines 5x – y = 7 and 10x + y = 15 meet the yaxis are:
Marks:1Answer:
(0, –7), (0, 15)
Explanation:
Since any point on the Yaxis is in the form (0, k), i.e., x coordinate is equal to zero.
So, 5x – y = 7 and 10x + y = 15
5(0) –(k) = 7 and 10(0) + (k) = 15
k = –7 and k = 15
Required coordinates are (0, –7) and (0, 15). 
Q2
The coordinates of the point where the line 2(x – 3) = y – 8 meet the xaxis is
Marks:1Answer:
(–1, 0)
Explanation:
Here y = 0
2(x – 3) = 0 – 8
(x – 3) = –4
x = –1
Required coordinate = (–1, 0)

Q3
The coordinates of the points where the lines 3x – y = 5 and 6x – y = 10 meet the yaxis are:
Marks:1Answer:
(0, –5), (0, –10)
Explanation:
Since any point on the Yaxis is in the form (0, k), i.e., x coordinate is equal to zero.
So, 3x – y = 5 and 6x – y = 10
3(0) – y = 5 and 6(0) – y = 10
y = –5 and y = –10
Hence, required coordinates are (0, –5), (0, –10).

Q4
If a system of linear equations has no solution, then the graphs of the equations
Marks:1Answer:
are parallel.
Explanation:
As parallel lines do not intersect each other. So, the equations have no common solution.

Q5
Which of the following system of equations is consistent?
Marks:1Answer:
4x + 6y – 7 = 0, 12x + 18y – 21 = 0
Explanation:
Consistency means the system of equations has at least one solution. Since B has infinitely many solutions, that system of equations is consistent.