Question

Solve the system of linear equations.
x−y=3
−2x+y=−5

Answer 1

x=2 and y=-1

Explanation:

x−y=3

x−y+y=3+y(Add y to both sides)

x=y+3

Substitutey+3forxin−2x+y=−5:

−2x+y=−5

−2(y+3)+y=−5

−y−6=−5(Simplify both sides of the equation)

−y−6+6=−5+6(Add 6 to both sides)

−y=1

−y

−1

=

1

−1

(Divide both sides by -1)

y=−1

Substitute−1foryinx=y+3:

x=y+3

x=−1+3

x=2(Simplify both sides of the equation)

I hope this Helps and have a great day