What is the solution of the system? Use elimination.

3x – 4y = –24
x + y = –1
A. (3, 4)
B. (4, 3)
C. (0, 6)
D. (–4, 3)

Question

What is the solution of the system? Use elimination.

3x – 4y = –24 
x + y = –1
  A. (3, 4) 	
  B. (4, 3) 	
  C. (0, 6) 	
  D. (–4, 3)

australopithecus · Answer

1. solve for one of the variables in equation 1 (pick the easy one)

x + y = -1
x = -y - 1

2.

Plug that into equation 2

3x – 4y = –24 
becomes,

3(-y - 1) – 4y = –24 

solve for y

3.

Plug the value you got for y into equation 1 or 2 to solve for x