(Q11).Solve each of the following pairs of equations by the elimination method.

3x + 4y = 25

5x – 6y = -9

Given: 3x + 4y = 25 ……. (1)

5x – 6y = -9 …….. (2)

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

Substituting y = in equation (1) we get

3x + 4 × = 25

3x = 25 –

⇒ x =
3
 =

∴ (,) is the solution for given pair of lines.