Question

What is the solution to the system of equations

y=3x-7

6x-2y=12



A.(12,14)

B. infinite number of solutions

C. (14,12)

D. no solutions

Answer 1

I think the answer is d

Answer 2

Prove it.

Answer 3

I don't think there are any solutions when I plug the other answers in they don't work

Answer 4

I'm also not quite sure what to do

Answer 5

What did you do?

y = 3x - 7

6x - 2y = 12 ==> 3x-y=6==> y = 3x - 6

So, then...
y = 3x - 7
y = 3x - 6

In this form it is an eyeball problem.

Same slope - parallel. Different intercept. No solution.

Answer 6

I'm just not sure how to simplify when an equation is in y intercept form

Answer 7

@tkhunny thanks for the reply

Answer 8

Simplify what? One was already in that form. The other was just solved for y.

Answer 9

oh ok I get it now thanks

Answer 10

I think all I had to do is simplify the other equation to y intercept form

Answer 11

right?

Answer 12

Thanks for all the help