Question

Can someone help me out with this question please? Thanks.
solve the system. {-2x+5y=-2
x-3y=3
A.(1,-9)
B.(-9,-4)
C.(-9, 0)
D.(0,-4)

Answer 1

Hi @Choo and welcome to OpenStudy!! :)

I can help you with your problem if you'd like?

Answer 2

Hi @marissalovescats. Thank you, and It would nice If you could help me out with my problem. Thanks.

Answer 3

Alrighty cool!

So the first thing we want to focus on is getting rid of one of the variables so we can solve for the other.

So notice how the first equation has a -2x and the second equation has an x in it.

What can we multiply that second equation by to get those xs to cancel?

Answer 4

we could cancel the xs by replacing them with 1.

Answer 5

Not exactly.

What we will do is multiply the entire second equation by 2 and add combine like terms (add the equations)

So can you do this for me:

2(x-3y=3)
What would that equation be if you distributed the 2 to each term?

Answer 6

I'm not sure If my answer is correct, but when I had distributed the 2 to each term, my was: (2x-6y=6). But I'm not sure if it's correct...

Answer 7

Yes it is correct great job! So now what we are going to do, is add the 2 equations (combine like terms)

What would you get?