Algebra Examples

$y = - \frac{3}{5} x - 1$ $y = - \frac{4}{5} x$

Step 1

Simplify each term.

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Step 1.1

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

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

$y = - \frac{4}{5} x$

Step 1.2

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

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

$y = - \frac{4}{5} x$

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

$y = - \frac{4}{5} x$

Step 2

Simplify $- \frac{4}{5} x$ .

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Step 2.1

Combine $x$ and $\frac{4}{5}$ .

$y = - \frac{x \cdot 4}{5}$

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

Step 2.2

Move $4$ to the left of $x$ .

$y = - \frac{4 x}{5}$

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

$y = - \frac{4 x}{5}$

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

Step 3

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

$(5, - 4)$

Step 4