Algebra Examples

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

Step 1

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

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

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

Step 2

Simplify each term.

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Step 2.1

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

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

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

Step 2.2

Move $3$ to the left of $x$ .

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

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

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

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

Step 3

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

$(4, - 4)$

Step 4