Algebra Examples

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

Step 1

Subtract $x$ from both sides of the equation.

$- y = 4 - x$

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

Step 2

Divide each term in $- y = 4 - x$ by $- 1$ and simplify.

Tap for more steps...

Step 2.1

Divide each term in $- y = 4 - x$ by $- 1$ .

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

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

Step 2.2

Simplify the left side.

Tap for more steps...

Step 2.2.1

Dividing two negative values results in a positive value.

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

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

Step 2.2.2

Divide $y$ by $1$ .

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

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

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

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

Step 2.3

Simplify the right side.

Tap for more steps...

Step 2.3.1

Simplify each term.

Tap for more steps...

Step 2.3.1.1

Divide $4$ by $- 1$ .

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

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

Step 2.3.1.2

Dividing two negative values results in a positive value.

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

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

Step 2.3.1.3

Divide $x$ by $1$ .

$y = - 4 + x$

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

$y = - 4 + x$

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

$y = - 4 + x$

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

$y = - 4 + x$

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

Step 3

Simplify each term.

Tap for more steps...

Step 3.1

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

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

$y = - 4 + x$

Step 3.2

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

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

$y = - 4 + x$

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

$y = - 4 + x$

Step 4

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

$(5, 1)$

Step 5