Question

Solve the following simultaneous equations:

x + y = 3; 3x − 2y = 4

Answer 1

x + y = 3    ...(I)

3x − 2y = 4    ...(II)

Multiply equation (I) by 2, we get

2x + 2y = 6   .......(III)

Add equations (II) and (III), we get

   3x − 2y = 4
+ 2x + 2y = 6     
5x = 10

∴ x = 2

Put the value of x = 2 in equation (I), we get

x + y = 3

2 + y = 3

y = 3 − 2

y = 1

∴ (x, y) = (2, 1)