Question

How do you solve the system of equations `18x + 6y = - 12` and `y = - 3x - 2`?

Answer 1

See below.

Explanation:

We use substitution (we substitute the `y`).

`18x+6(-3x-2)=-12`

Distributing into the parenthesis, and then combining the `x`'s, we get:

`-12=-12`
This equation is always true. So, there are infinitely many solutions.