2x + y=10
3x - 2y = 1

Solve
2x+y=10 for y:
2x+y=10

2x+y+−2x=10+−2x
(Add -2x to both sides)
y=−2x+10

Step: Substitute−
2x+10 for y in 3x−2y=1:
3x−2y=1
3x−2(−2x+10)=1
7x−20=1
(Simplify both sides of the equation)
7x−20+20=1+20
(Add 20 to both sides)
7x=21
7x=21
_ _
7 7
(Divide both sides by 7)
x=3

Step: Substitute
3 for x in y=−2x+10:
y=−2x+10
y=(-2)(3)+10
y=4
(Simplify both sides of the equation)

x=3 and y=4

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