Answer: x=3 and y=4
Step-by-step explanation:
Rewrite equations:
x+3y=15;2x−2y=−2
Step: Solve x+3y=15 for x:
x+3y=15
x+3y+−3y=15+−3y(Add -3y to both sides)
x=−3y+15
Step: Substitute−3y+15 for x in 2x−2y=−2:
2x−2y=−2
2(−3y+15)−2y=−2
−8y+30=−2(Simplify both sides of the equation)
−8y+30+−30=−2+−30(Add -30 to both sides)
−8y=−32
−8y over −8 = −32 over −8
(Divide both sides by -8)
y=4
Step: Substitute 4 for y in x=−3y+15:
x=−3y+15
x=(−3)(4)+15
x=3(Simplify both sides of the equation)
