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Answer:
x = -8 and y = -7
Step-by-step explanation:
I will solve your system by substitution.
(You can also solve this system by elimination.)
8x−12y=20;4x−4y=−4
Step: Solve8x−12y=20for x:
8x−12y+12y=20+12y(Add 12y to both sides)
8x=12y+20
8x
8
=
12y+20
8
(Divide both sides by 8)
x=
3
2
y+
5
2
Step: Substitute
3
2
y+
5
2
forxin4x−4y=−4:
4x−4y=−4
4(
3
2
y+
5
2
)−4y=−4
2y+10=−4(Simplify both sides of the equation)
2y+10+−10=−4+−10(Add -10 to both sides)
2y=−14
2y
2
=
−14
2
(Divide both sides by 2)
y=−7
Step: Substitute−7foryinx=
3
2
y+
5
2
:
x=
3
2
y+
5
2
x=
3
2
(−7)+
5
2
x=−8(Simplify both sides of the equation)