Q) Use graphical method to solve the system of linear equations: y = – 3 and x + 2y = 4. 

(Q 28 – 30/5/2 – CBSE 2026 Question Paper)

Ans:

To solve the given linear equations, let’s first plot both lines and find point of intersection.

(i) For y = – 3:

Since at this line, for all points y coordinate value is – 3, irrespective of value of x

∴ This is a horizontal line

(ii) For x + 2 y = 4:

at x = 0, y = 2
at x = 2, y = 1
at y = 0, x = 4
at y = 1, x = 2
at y = 2, x = 0

Let’s plot these lines with above points:

By looking at the graph, we can see that both lines intersect at point (10, – 3).

Therefore, the solution to the system of equations is (10, – 3)

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