Substitute x+2y=8 3x+2y=6

X + 2y = 8

3x+2y = 6

x + 2y = 8

-2y - 2y

x = 8 - 2y

Now replace the value for x into the second equation.

3 (8-2y) - 2y

Distribute property

3*8 = 24

3*2y = 6y

24 - 6y - 2y = 6

24 - 8y = 6

-24 - 24

-8y = - 18

-8y/8 = - 18/8

y = 2.25

Now replace the value for y into the equation.

x + 2 (2.25) = 8

x + 4.5 = 8

-4.5 - 4.5

x = 3.5

Now we have our two values.

x = 3.5

y = 2.25

Use x+2y=8

Subtract 2y to make

x=8-2y

Plug this in to the other equation

3 (8-2y) + 2y=6

Distribute the 3

24-6y+2y=6

Combine like terms

24-4y=6

Solve

18/4=y, 9/2=y

Plug and solve for x

X+2y=8

X + (2*9/2) = 8

X+9=8

X=-1