Which ordered pair is the solution to the system of equations?
x+y=-1 x-3y=11

A.
(2, −3)

B.
(−2, 1)

C.
(5, −2)

D.
(−6, 5)

Question

Which ordered pair is the solution to the system of equations?  
x+y=-1         x-3y=11 

A. 
(2, −3)

  B.
(−2, 1)

  C. 
(5, −2)

  D. 
(−6, 5)

anonymous · Answer

Okay lets work on this together

@rebecca1588

anonymous · Answer

So for the first equation lets solve for x. Just subtract y from each side.

anonymous · Answer

You should get:

$$x = -1 - y$$

anonymous · Answer

So now we know the equation for x.

anonymous · Answer

Now lets plug in that equation into the second equation in place of x... so we should have this now:

$$(-1-y) - 3y = 11$$

anonymous · Answer

Now when we solve that we should get:

$$y = -3$$

rebecca1588 · Answer

I think the correct answer is A. (2, −3) would I be right?

anonymous · Answer

Now that we know what y is lets plug that in for y in the first equation!

anonymous · Answer

let me see. @rebecca1588

anonymous · Answer

Yes! Amazing job!

anonymous · Answer

Hope this helped! Have a great day!

Also a medal would be much appreciated! Just click best response next to my answer. Thank You!

@rebecca1588

rebecca1588 · Answer

Thanks :) <3