(Q9).Solve each of the following pairs of equations by the elimination method.

8x + 5y = 9

3x + 2y = 4

Given: 8x + 5y = 9 ……. (1)

3x + 2y = 4 …….. (2)

Equation (1) × ⇒ x + y =
Equation (2) × ⇒ x + y =
(-) (-) (-)
- y = -

∴ y =

Substituting y = in equation (1) we get

8x + 5 × = 9

⇒ 8x = 9 –

x =
-
8
 = -

∴ The solution is (- , )