Answer: 1
−x+2y=−5;3x−2y=−1
Step: Solve−x+2y=−5for x:
−x+2y=−5
−x+2y+−2y=−5+−2y(Add -2y to both sides)
−x=−2y−5
−x
−1
=
−2y−5
−1
(Divide both sides by -1)
x=2y+5
Step: Substitute2y+5forxin3x−2y=−1:
3x−2y=−1
3(2y+5)−2y=−1
4y+15=−1(Simplify both sides of the equation)
4y+15+−15=−1+−15(Add -15 to both sides)
4y=−16
4y
4
=
−16
4
(Divide both sides by 4)
y=−4
Step: Substitute−4foryinx=2y+5:
x=2y+5
x=(2)(−4)+5
x=−3(Simplify both sides of the equation)
Answer:
x=−3 and y=−4
Explanation: