Answer:
x=−1 y=4
Step-by-step 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)
