Question

Solve the following system of linear equations 7x − 2y = 5 and 8x + 7y = 15 and verify your answer.

Answer 1

Given system of linear equations are 

7x − 2y = 5   ...(i)

8x + 7y = 15   ...(ii)

By multiplying eq. (i) by 7 and eq. (ii) by 2, we get

49x − 14y = 35

16x + 14y = 30

65x = 65

∴ x = 1

Substituting the value of x is eq (i), we get

7(1) − 2y = 5

or, 7 − 2y = 5

or −2y = −2, or y = 1

Therefore, x = 1 and y = 1