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

Mar 7, 2018

$\left(2 , 3\right)$

#### 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:

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

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:

$3 \left(11 - 3 y\right) - 2 y = 0$

From here, we simply solve for $y$:

$3 \left(11 - 3 y\right) - 2 y = 0$

$33 - 9 y - 2 y = 0$

$33 - 11 y = 0$

$- 11 y = - 33$

$y = \frac{- 33}{-} 11$

$y = 3$

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

$x = 11 - 3 \left(3\right)$

$x = 11 - 9$

$x = 2$