Question

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

Answer 1

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

Answer 2

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)