Question

Find three solutions for the equations
(i) 2x - y = -5
(ii) y - 3x = 7

Answer 1

To find any solution of a linear equation in two variables, we just have to supply a random value for one of the two variables and then find the corresponding value for the other variable.

(i) 2 x – y = -5

Putting x = 0, we get

– y = -5

y = 5

Hence, (0, 5) is a solution

Putting x = 1, we get

2 – y = -5

- y = -5 – 2

y = 7

Hence, (1, 7) is a solution

Putting x = 2, we get

4 – y = -5

- y = -5 – 4

Y = 9

Hence, (2, 9) is a solution

(ii) y – 3 x = 7

Putting x = 0, we get

y – 0 = 7

y = 7

Hence, (0, 7) is a solution

Putting x = 1, we get

y – 3 = 7

y = 4

Hence, (1, 4) is a solution

Putting x = 2, we get

y – 6 = 7

y = 1

Hence, (2, 1) is a solution