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Solution


Q.

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

Ans.

Given system of linear equations:

7x – 2y = 5 ...(i)

8x + 7y = 15 ...(ii)

Multiplying eq (i) by 7 and eq (ii) by 2 then adding, we get

65x = 65 ⇒ x = 1

Substituting value of x is eq (i) we get

7(1) – 2y = 5 ⇒ 7 – 2y = 5 ⇒ –2y = –2 or, y = 1

Therefore, x = 1 and y = 1