Algebra Examples

$y = - \frac{5}{3} x + 3$ $y = \frac{1}{3} x - 3$

Step 1

Simplify each term.

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Step 1.1

Combine $x$ and $\frac{5}{3}$ .

$y = - \frac{x \cdot 5}{3} + 3$

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

Step 1.2

Move $5$ to the left of $x$ .

$y = - \frac{5 x}{3} + 3$

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

$y = - \frac{5 x}{3} + 3$

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

Step 2

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

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

$y = - \frac{5 x}{3} + 3$

Step 3

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

$(3, - 2)$

Step 4