Question

What is the solution to the system of equations?
y = 3x - 4
2y - 6x = -8

Answer 1

Infinite solutions.

Any number.

Explanation:

First, substitute one of the variables, x or y into one of the equations.

Since y is already isolated, substitute it in 2y - 6x = -8.

2 (3x - 4) - 6x = -8

Distribute 2 to 3x and -4.

6x - 8 - 6x = -8

Bring like terms together.

6x - 6x - 8 = -8

move -8 over to the other side of the equation and change its sign.

Or just add 8 to both sides (it is the same thing.)

You add 8 because it is to cancel out the negative 8 and get rid of it.

6x - 6x = -8 + 8

This equals 0 = 0 so there are infinite solutions to this system of equations.