Question

Solve the following system of equations by eliminating ‘y’ (by substitution) :

2x + y = 0

17x – 11y – 8 = 0

Answer 1

We have,

2x + y = 17 ….(1)

17x – 11y = 8 ….(2)

From equation (1), we get;

2x + y = 17 ⇒ y = 17 – 2x

Substituting the value of ‘y’ in equation (2), we get

⇒ 17x – 11 (17 – 2x) = 8

⇒ 17x – 187 + 22x = 8

⇒ 39x = 195

⇒ x = 5

Now, substituting the value of ‘x’ in equation (1), we get

2 × 5 + y = 17

⇒ y = 7

Hence, x = 5, y = 7.