Find the solution of the linear equation x + 2y = 8 which represents a point on
(i) x-axis
(ii) y-axis

Solution:

Given, the linear equation is x + 2y = 8

We have to find the solution of the linear equation on x-axis and y-axis.

(i) To find point on the x-axis

When the point lies on the x-axis, y = 0

Put y = 0 in the given equation,

x + 2(0) = 8

x = 8

Therefore, the point on the x-axis is (8, 0)

(ii) To find the point on the y-axis

When the point lies on the y-axis, x = 0

Put x = 0 in the given equation,

0 + 2y = 8

y = 8/2

y = 4

Therefore, the point on the y-axis is (0, 4)

✦ Try This: Find the solution of the linear equation 3x + y = 9 which represents a point on (i) x-axis (ii) y-axis

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 4

NCERT Exemplar Class 9 Maths Exercise 4.3 Problem 8

Find the solution of the linear equation x + 2y = 8 which represents a point on (i) x-axis, (ii) y-axis

Summary:

The solution of the linear equation x + 2y = 8 which represents a point on (i) x-axis is (8, 0), (ii) y-axis is (0, 4)

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