Precalculus Examples

$y = \frac{1}{2} x - 4$ , $y = \frac{3}{2} x + 12$ , $y = 12$ , $y = \frac{1}{3} x - 4$

Step 1

Combine $\frac{1}{2}$ and $x$ .

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

$y = \frac{3}{2} x + 12$

$y = 12$

$y = \frac{1}{3} x - 4$

Step 2

Combine $\frac{3}{2}$ and $x$ .

$y = \frac{3 x}{2} + 12$

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

$y = 12$

$y = \frac{1}{3} x - 4$

Step 3

Combine $\frac{1}{3}$ and $x$ .

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

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

$y = \frac{3 x}{2} + 12$

$y = 12$

Step 4

Create a graph to locate the intersection of the equations. The intersection of the system of equations is the solution.

$(- 16, - \frac{28}{3})$

Step 5