Algebra Examples

$x - y = 5 (x - y)$

Step 1

The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

Step 2

Rewrite in slope-intercept form.

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Step 2.1

Simplify the right side.

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Step 2.1.1

Simplify $5 (x - y)$ .

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Step 2.1.1.1

Apply the distributive property.

$x - y = 5 x + 5 (- y)$

Step 2.1.1.2

Multiply $- 1$ by $5$ .

$x - y = 5 x - 5 y$

Step 2.2

Move all terms containing $y$ to the left side of the equation.

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Step 2.2.1

Add $5 y$ to both sides of the equation.

$x - y + 5 y = 5 x$

Step 2.2.2

Add $- y$ and $5 y$ .

$x + 4 y = 5 x$

Step 2.3

Move all terms not containing $y$ to the right side of the equation.

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Step 2.3.1

Subtract $x$ from both sides of the equation.

$4 y = 5 x - x$

Step 2.3.2

Subtract $x$ from $5 x$ .

$4 y = 4 x$

Step 2.4

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

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Step 2.4.1

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

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

Step 2.4.2

Simplify the left side.

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Step 2.4.2.1

Cancel the common factor of $4$ .

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Step 2.4.2.1.1

Cancel the common factor.

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

Step 2.4.2.1.2

Divide $y$ by $1$ .

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

Step 2.4.3

Simplify the right side.

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Step 2.4.3.1

Cancel the common factor of $4$ .

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Step 2.4.3.1.1

Cancel the common factor.

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

Step 2.4.3.1.2

Divide $x$ by $1$ .

$y = x$