Algebra Examples

$x - y = 3 (x - y)$

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 $3 (x - y)$ .

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Step 2.1.1.1

Apply the distributive property.

$x - y = 3 x + 3 (- y)$

Step 2.1.1.2

Multiply $- 1$ by $3$ .

$x - y = 3 x - 3 y$

Step 2.2

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

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Step 2.2.1

Add $3 y$ to both sides of the equation.

$x - y + 3 y = 3 x$

Step 2.2.2

Add $- y$ and $3 y$ .

$x + 2 y = 3 x$

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.

$2 y = 3 x - x$

Step 2.3.2

Subtract $x$ from $3 x$ .

$2 y = 2 x$

Step 2.4

Divide each term in $2 y = 2 x$ by $2$ and simplify.

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Step 2.4.1

Divide each term in $2 y = 2 x$ by $2$ .

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

Step 2.4.2

Simplify the left side.

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Step 2.4.2.1

Cancel the common factor of $2$ .

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Step 2.4.2.1.1

Cancel the common factor.

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

Step 2.4.2.1.2

Divide $y$ by $1$ .

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

Step 2.4.3

Simplify the right side.

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Step 2.4.3.1

Cancel the common factor of $2$ .

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Step 2.4.3.1.1

Cancel the common factor.

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

Step 2.4.3.1.2

Divide $x$ by $1$ .

$y = x$