Question

Solve the system of equations below. x + y = 5 -4x – 2y = -8

Answer 1

Answer:

x = -1 , y = 6  

or  (-1, 6)

Step-by-step explanation:

First solve for "y" in the second equation:

$-4x-2y=-8\\-4x+8=2y\\y=-2x+4$

and now, use this result as a substitution for "y" in  terms of "x" in the first equation:

$x+y=5\\x+(-2x+4)=5\\x-2x+4=5\\-x=5-4\\-x=1\\x=-1$

Knowing the value of "x", now we place it in the substitution equation to find "y":

$y=-2x+4\\y=-2(-1)+4\\y=6$