98.7k views
2 votes
Solve.
7x+2y=2,
x-2y=14

User Krebshack
by
8.1k points

2 Answers

2 votes
I have the answer and process on the attachment. 
Solve. 7x+2y=2, x-2y=14-example-1
User Bogatyr
by
8.2k points
7 votes
Isolate the X in the second equation

x=2y+14

Substitute that in for the x in the fist equation

7(2y+14) + 2y = 2

Distribute the 7

14y+14+2y=2

Combine like terms

16y+14=2

Isolate the 16y

16y=-12

Isolate y by dividing the whole equation by 16

y=-12/16

Simplify

y=-3/4

That is your y. To find x, plug y into one of the equations. I'm plugging it into the version of the second equation after we isolated x.

x=2(-3/4)+14

Distribute the 2

x=(-1.5)+14

Simplify

x=12.5

User Cackle
by
7.2k points