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Use the substitution method to solve the system of equations. 2x - y = 10 3x - 2y = 8

2 Answers

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2x-y=10
3x-2y=8

-y= -2x +10 multiply by(-1)
y=2x-10

3x-2(2x-10)=8
3x-4x+20=8
-x=-12 multply by (-1)
x=12
24-y =10
-y=-14
(12,14)

User Zachary Orr
by
8.0k points
5 votes

Answer:

x=12, y=14

Explanation:


2x - y = 10

Solve the equation for y. Subtract 2x from both sides


- y = -2x+10

Divide both sides by -1


y=2x-10

Substitute 2x-10 for y in the second equation


3x - 2(2x-10)= 8


3x - 4x+20= 8


-1x+20= 8

Subtract 20 from both sides


-1x= -12

Divide both sides by -1

x= 12


y=2x-10

Substitute 12 for x


y=2(12)-10=14

y=14

User Manish Prajapati
by
8.9k points

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