NCERT Solutions
Class 9 Maths
Linear Equations in Two Variables

Ex.4.2 Q.2
Write four solutions for each of the following equations:
(1) 2x + y = 7
(2) πx + y = 9
(3) x = 4y
(1) 2x + y = 7
When x = 0,
2(0) + y = 7
=> 0 + y = 7
=> y =7
So, the solution is (0, 7).
When x = 1,
2(1) + y = 7
=> y = 7 – 2
=> y = 5
So, the solution is (1, 5).
When x = 2,
2(2) + y = 7
=> y = 7 – 4
=> y = 3
So, the solution is (2, 3).
When x = 3,
2(3) + y = 7
=> y = 7 – 6
=> y = 1
So, the solution is (3, 1).
(2) πx + y = 9
When x = 0
π (0) + y = 9
=> y = 9 – 0
=> y = 9
So, the solution is (0, 9).
When × = 1, π (1) + y = 9
=> y = 9 – π
So, the solution is {1, (9 – π)}
When x = 2,
π (2) + y = 9
=> y = 9 – 2π
So, the solution is {2, (9 – 2π)}
When × = –1,
π (–1) + y = 9
=> -π + y = 9
=> y = 9 + π
So, the solution is {–1, (9 + π)}
(3) x = 4y
When x = 0, 4y = 0
=> y = 0
So, the solution is (0, 0).
When x = 1, 4y = 1
=> y = 0
So, the solution is (0, 0)
When x = 4,
4y = 4
=> y = 4 ÷ 4
=> y = 1
So, the solution is (4, 1)
When x = -4,
4y = -4
=> y = -4 ÷ 4
=> y = -1
So, the solution is (4, -1).