Solve for x

x+3y=6

6x-6y=4

x = 2

Step-by-step explanation:

set the first equation equal to y

3y = 6 - x

multiply by 2

6y = 12 - 2x

plug into the second equation

6x - 6y = 4

6x - 12 + 2x = 4

8x - 12 = 4

8x = 16

x = 2

x=2, y = 4/3

Step-by-step explanation:

substitute the value of x into the second equation

move 3y onto the right side.

x = 6-3y

now substitute the value of x into the second equation.

6 (6-3y) + 6y = 4. (solve for y now)

36 - 18y + 6y = 4

36 - 12y = 4

-12y = - 32

y = 4/3

put back the value of y into either equation

x = 6 - 3 (4/3)

x = 6 - 4

x = 2