Question

What is the solution to the system of

equations shown below?
S23
2x + 2y = 12
6x - 2y = 20

Answer 1

The solution, as an ordered pair, is (4, 2).

Explanation:

2x + 2y = 12

6x - 2y = 20 Adding the 2 equations will eliminate y:

8x + 2y + (-2y) = 32

8x = 32

x = 4.

Substitute x = 4 in the first equation:

2(4) + 2y = 12

2y = 12 - 8

2y = 4

y = 2.

Answer 2

2x+2y=12.........&
6x-2y=20.........$

&+$: 8x=32
x=4

2*4+2y=12
y=4