Question

How do you solve `3x - 2y = 0` and `x = 11 - 3y` using substitution?

Answer 1

`(2,3)`

Explanation:

Substitution is the process of solving a system of equations, using one equation with a solved variable in place of that variable in the second equation.

Here are the equations we are given:

`3x-2y=0`
`x=11-3y`

Luckily, we already have one variable solved for. All we have to do is replace the `x` in the first equation with its corresponding value.

We should now have this:

`3(11-3y)-2y=0`

From here, we simply solve for `y`:

`3(11-3y)-2y=0`

`33-9y-2y=0`

`33-11y=0`

`-11y=-33`

`y=(-33)/-11`

`y=3`

Now that we know our `y` value, we can plug it back into the "`x`" equation.

`x=11-3(3)`

`x=11-9`

`x=2`