Question

Solve each of the following systems of simultaneous linear equations by the method of substitution.

(i) 3x + 2y = 11, 2x + 3y = 4

(ii) 8x + 5y = 9, 3x + 2y = 4

Answer 1

(i) 3x + 2y = 11, 2x + 3y = 4

The given equations are

3x + 27 = 11 ….(i)

and 2x + 3y = 4 …(ii)

From (i) 2y = 11 – 3x

Hence the required solution is x = 5 and y = – 2

(ii) 8x + 5y = 9, 3x + 2y = 4

The given equations are

8x + 5y = 9 …(i)

and 3x + 2y = 4 …(ii)

From (ii) 2y = 4 – 3x

Hence, the required solution is x = – 2 and y = 5.