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

plz help i will medal! and fan!

anonymous · Answer

i think it is a

calculusxy · Answer

$$\color \green{x + y = -1}$$
$$\color \green{x - 3y = 11}$$

$$y = -1 - x $$
$$x - 3(-1 - x) = 11 \rightarrow x + 3 + 3x = 11 \rightarrow 4x + 3 = 11 \rightarrow \color \red{x = 2}$$
$$\color \purple{2 - 3y = 11} \rightarrow -3y = 9 \rightarrow y= -3$$

$$\large \tt \color \green{(2, -3)}$$

anonymous · Answer

omg thank you so much! here is a medal!

calculusxy · Answer

You're welcome :)

anonymous · Answer

i am toats taking notes on this!

calculusxy · Answer

I am happy that this seems helpful to you!

anonymous · Answer

it is thx i have a couple  more like this but i will work them out and u check i will tag u when i post thx again!

calculusxy · Answer

Well, I have to go now but I might come back on OS.

anonymous · Answer

kk bye!