Question

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

Answer 1

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 2

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