Answer:
(5,-2)
Step by step:
step: Solvex+3y=−1for x:
x+3y=−1
x+3y+−3y=−1+−3y(Add -3y to both sides)
x=−3y−1
Step: Substitute−3y−1forxin2x+2y=6:
2x+2y=6
2(−3y−1)+2y=6
−4y−2=6(Simplify both sides of the equation)
−4y−2+2=6+2(Add 2 to both sides)
−4y=8
−4y
−4
=
8
−4
(Divide both sides by -4)
y=−2
Step: Substitute−2foryinx=−3y−1:
x=−3y−1
x=(−3)(−2)−1
x=5(Simplify both sides of the equation)
Answer:
x=5 and y=−2