Question

Solve the system of equations :
2x -5y=-22
X+7y=27

Answer 1

x=−1 y=4

Explanation:

Let's solve your system by substitution.

2x−5y=−22; x+7y=27

Rewrite equations:

x+7y=27;2x−5y=−22

Step: Solve x+7y=27for x:

x+7y=27

x+7y+−7y=27+−7y(Add -7y to both sides)

x=−7y+27

Step: Substitute−7y+27 for x in 2x−5y=−22:

2x−5y=−22

2(−7y+27)−5y=−22

−19y+54=−22(Simplify both sides of the equation)

−19y+54+−54=−22+−54(Add -54 to both sides)

−19y=−76

−19y

−19

=

−76

−19

(Divide both sides by -19)

y=4

Step: Substitute 4 for y in x=−7y+27:

x=−7y+27

x=(−7)(4)+27

x=−1(Simplify both sides of the equation)

Answer 2

The answer/ solution for the system of equations is: x=-1 y=4