(Q8).Solve the following pair of linear equations using elimination method.

3x + 2y = 11

2x + 3y = 4

3x + 2y = 11 ...........(1)

2x + 3y = 4 ............(2)

Let us eliminate 'y' from the given equations. The coefficients of 'y' in the given equations are 2 and 3. L.C.M.of 2 and 3 is 6. So, multiply equation (1) by 3 and equation (2) by 2.

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

Substitute x = , in equation (1)

3() + 2y = 11

2y = 11 - = - ⇒ y =
-
2
 = -

Therefore, the required solution is x = , y = - .