Question

Solve by elimination
(show all your work)
14x = 2y + 16
5x = y + 2

Answer 1

x=3

y=13

Explanation:

Multiply the second equation by 2:

2(5x=y+2) = (10x=2y+4)

Subtract one equation from the other:

14x=2y+16

- 10x=2y+4

= 4x=12

Solve for x:

4x=12

x=3

Solve for y by plugging in x:

5(3)=y+2

15=y+2

13=y