NCERT Solutions
Class 9 Maths
Linear Equations in Two Variables

Ex.4.2. Q.3
Check which of the following are solutions of the equation x – 2y = 4 and which are not:
(1) (0, 2)
(2) (2, 0)
(3) (4, 0)
(4) (√2, 4√2)
(5) (1, 1)
Given, equation is: x – 2y = 4
(1) (0, 2) means x = 0 and y = 2
LHS: x – 2y = 0 – 2 × 2
= 0 – 4
= -4 ≠ RHS
So, (0, 2) is not the solution of given equation.
(2) (2, 0) means x = 2, y = 0
LHS: x – 2y = 2 – 2 × 0
= 2 – 0
= 2 ≠ RHS
So, (2, 0) is not the solution of given equation.
(3) (4, 0) means x = 4, y = 0
LHS: x – 2y = 4 – 2 × 0
= 4 – 0
= 4 = RHS
So, (4, 0) is the solution of given equation.
(4) (√2, 4√2) means x = √2 and y = 4√2
LHS: x – 2y = √2 – 2 × 4√2
= √2 – 8√2
= -6√2 ≠ RHS
So, (√2, 4√2) is not the solution of given equation.
(5) (1, 1) means x = 1, y = 1
LHS: x - 2y = 1 – 2 × 1
= 1 – 2
= -1 ≠ RHS
So, (1, 1) is not the solution of given equation.