# What is the range of the function 2x +3y = 12?

Oct 18, 2017

All real numbers

#### Explanation:

You can simplify this equation to become a linear equation by isolating $y$.

First, subtract $2 x$ on both sides to get: $3 y = - 2 x + 12$.

Then, divide everything by 3.

$y = - \frac{2}{3} x + 4$

Since this is a linear equation all numbers can be plugged in to get any range possible. Therefore, the range is all real numbers.