Question

How do you solve the system of equations `6x - 2y = - 8` and `3x - y = - 4`?

Answer 1

Solution below.

Explanation:

`1.` Pick an equation and find `y` in terms of `x`

`3x-y=-4`

`3x=-4+y`

`3x+4=y`

`2.` Substitute the value for `y` in the other equation

`y=3x-4`

`6x-2y= -8`

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

`6x-6x-8=-8`

`-8=-8`

Since `-8` is always equal to `-8`, `x` can be any real number. So the solution is infinite solutions.

ANSWER: Infinite solutions