Answer:
x=3 and y=2
Step-by-step explanation:
Rewrite equations:
3x−y=7;2x+y=8
Step: Solve3x−y=7for y:
3x−y=7
3x−y+−3x=7+−3x(Add -3x to both sides)
−y=−3x+7
−y
−1
=
−3x+7
−1
(Divide both sides by -1)
y=3x−7
Step: Substitute 3x−7 for y in 2x+y=8:
2x+y=8
2x+3x−7=8
5x−7=8 (Simplify both sides of the equation)
5x−7+7=8+7 (Add 7 to both sides)
5x=15
5x5
=
15/5
(Divide both sides by 5)
x=3
Step: Substitute 3 for x in y=3x−7:
y=3x−7
y=(3)(3)−7
y=2(Simplify both sides of the equation)
