3x - 2y = -1 ; -x + 2y = -5

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)

x=−3 and y=−4

Step-by-step explanation: