Answer:
x=7 and y=3
Explanation:
Step: Solve x−3y=−2 for x:
x−3y=−2
x−3y+3y=−2+3y(Add 3y to both sides)
x=3y−2
Step: Substitute3y−2for x in x+3y=16:
x+3y=16
3y−2+3y=16
6y−2=16(Simplify both sides of the equation)
6y−2+2=16+2(Add 2 to both sides)
6y=18
6y
6
=
18
6
(Divide both sides by 6)
y=3
Step: Substitute3foryinx=3y−2:
x=3y−2
x=(3)(3)−2
x=7(Simplify both sides of the equation)
Answer:
x=7 and y=3