How to do the equation x+3y=-6 and -2x-6y=-6 with substitution

Answer 1

x + 3y = -6

-2x -6y = -6

Solve the top equation for x by subtracting 3y on both sides of the equation. x = -3y - 6

Substitute the right side into the 2nd equation in place of x.

-2x - 6y = -6

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

6y + 12 - 6y = -6 (6y - 6y = 0 or cancels out)

12 = -6 (This is a false statement, which means that there is no solution to the problem. The lines are parallel, which means that they do not intersect.

Answer 2

As written here is no solution because the two line equations are parallel.

If you rewrite both equations in y intercept form, you will see that both lines have the same slope of -1/3.