Finite Math Examples

$5 (x + 3 + y) = 10 x$

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 left side.

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Step 2.1.1

Simplify $5 (x + 3 + y)$ .

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Step 2.1.1.1

Apply the distributive property.

$5 x + 5 \cdot 3 + 5 y = 10 x$

Step 2.1.1.2

Multiply $5$ by $3$ .

$5 x + 15 + 5 y = 10 x$

Step 2.2

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

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Step 2.2.1

Subtract $5 x$ from both sides of the equation.

$15 + 5 y = 10 x - 5 x$

Step 2.2.2

Subtract $15$ from both sides of the equation.

$5 y = 10 x - 5 x - 15$

Step 2.2.3

Subtract $5 x$ from $10 x$ .

$5 y = 5 x - 15$

Step 2.3

Divide each term in $5 y = 5 x - 15$ by $5$ and simplify.

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Step 2.3.1

Divide each term in $5 y = 5 x - 15$ by $5$ .

$\frac{5 y}{5} = \frac{5 x}{5} + \frac{- 15}{5}$

Step 2.3.2

Simplify the left side.

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Step 2.3.2.1

Cancel the common factor of $5$ .

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Step 2.3.2.1.1

Cancel the common factor.

$\frac{5 y}{5} = \frac{5 x}{5} + \frac{- 15}{5}$

Step 2.3.2.1.2

Divide $y$ by $1$ .

$y = \frac{5 x}{5} + \frac{- 15}{5}$

Step 2.3.3

Simplify the right side.

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Step 2.3.3.1

Simplify each term.

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Step 2.3.3.1.1

Cancel the common factor of $5$ .

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Step 2.3.3.1.1.1

Cancel the common factor.

$y = \frac{5 x}{5} + \frac{- 15}{5}$

Step 2.3.3.1.1.2

Divide $x$ by $1$ .

$y = x + \frac{- 15}{5}$

Step 2.3.3.1.2

Divide $- 15$ by $5$ .

$y = x - 3$