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

Verified Answer :

musenmuñuy

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)

Answer:

x=12, y=14

Step-by-step 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

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