Which ordered pair is the solution to the system of equations?

x+y= -1

x-3y= 11

Please tell me how you got your answer- thank you for helping me! :)
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

Please tell me how you got your answer- thank you for helping me! :)
 A. 
 (2, −3)

B. 
 (−2, 1)

C. 
 (5, −2)
  
D. 
 (−6, 5)

greatlife44 · Answer

You can solve this by a substitution method or eliminating one of the variables

greatlife44 · Answer

the easy way would be to plug in the answer choices wherever you see x and y

cathyangs · Answer

If you have trouble rearranging systems of equations, you can simply test each of the ordered pairs, using the x-value in place of x and the y-value in place of y, to see which pair holds true for both equations. If you want, I can help you work through them, though, which is probably what the person giving you this question wanted you to do.

anonymous · Answer

Yes please!

greatlife44 · Answer

Take a look at this 

x+y = -1 

y = -1-x 

x -3(-1-x) = 11 

x +3+3x = 11 

4x+3 = 11 
    -3     -3 

4x  = 8 

x = 2



x + y = -1 

2+y = -1 

y = -1-2 

y = -3 


2-3(-3) 
2-(-9) = 11 


so x = 2 and y = -3

anonymous · Answer

Thank you so much!

greatlife44 · Answer

ideally you don't want to just plug in the answer choices because you won't always be given both x and y

greatlife44 · Answer

of course when you solve this yourself, you can plug in at the end.

anonymous · Answer

I'll keep that in mind, thank you :) @greatlife44