Question

-x-y=4 and x+2y=4 use addition to solve the linear system of equations include all your work

Answer 1

x= -12 and y=8

Explanation:

Let's solve your system by substitution.

−x−y=4;x+2y=4

Step: Solve−x−y=4for x:

−x−y=4

−x−y+y=4+y(Add y to both sides)

−x=y+4

−x

−1

=

y+4

−1

(Divide both sides by -1)

x=−y−4

Step: Substitute−y−4forxinx+2y=4:

x+2y=4

−y−4+2y=4

y−4=4(Simplify both sides of the equation)

y−4+4=4+4(Add 4 to both sides)

y=8

Step: Substitute8foryinx=−y−4:

x=−y−4

x=−8−4

x=−12(Simplify both sides of the equation)

Answer:

x=−12 and y=8