What is the solution to the system of equations that contains −3x + y = 3 and 2x − y = −1?

no solution

(−1, 3)

infinite number of solutions

(−2, −3)

Question

What is the solution to the system of equations that contains −3x + y = 3 and 2x − y = −1?




no solution

(−1, 3)

infinite number of solutions

(−2, −3)

campbell_st · Answer

add the equations to eliminate y.

then solve for x

substitute x into either equation to find y

austinl · Answer

$-3x+y=3$
$2x-y=-1$

You would then add them together.

$-3x+\cancel{y}=3$
$2x-\cancel{y}=-1$
$-x=2\rightarrow x=-2$

You can then plug in that in one of the original equations.