Question

Solve the simultaneous equations
2x+2y=18
3x+2y=22

Answer 1

(4, 5).

Explanation:

2x+2y=18

3x+2y=22

Subtract first one from second:

3x - 2x = 22 - 18

x = 4

Plug this into first equation:

2(4) + 2y = 18

2y = 18 - 8 = 10

y = 5.

Check this result in second equation

3(4) + 2(5)

= 12 + 10

= 22.

So its correct.