Algebra Examples

$\frac{y + 6 x}{4} = x + 3$

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

Multiply both sides by $4$ .

$\frac{y + 6 x}{4} \cdot 4 = (x + 3) \cdot 4$

Step 2.2

Simplify.

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Step 2.2.1

Simplify the left side.

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Step 2.2.1.1

Simplify $\frac{y + 6 x}{4} \cdot 4$ .

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Step 2.2.1.1.1

Cancel the common factor of $4$ .

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Step 2.2.1.1.1.1

Cancel the common factor.

$\frac{y + 6 x}{4} \cdot 4 = (x + 3) \cdot 4$

Step 2.2.1.1.1.2

Rewrite the expression.

$y + 6 x = (x + 3) \cdot 4$

Step 2.2.1.1.2

Reorder $y$ and $6 x$ .

$6 x + y = (x + 3) \cdot 4$

Step 2.2.2

Simplify the right side.

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Step 2.2.2.1

Simplify $(x + 3) \cdot 4$ .

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Step 2.2.2.1.1

Apply the distributive property.

$6 x + y = x \cdot 4 + 3 \cdot 4$

Step 2.2.2.1.2

Simplify the expression.

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Step 2.2.2.1.2.1

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

$6 x + y = 4 \cdot x + 3 \cdot 4$

Step 2.2.2.1.2.2

Multiply $3$ by $4$ .

$6 x + y = 4 x + 12$

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 $6 x$ from both sides of the equation.

$y = 4 x + 12 - 6 x$

Step 2.3.2

Subtract $6 x$ from $4 x$ .

$y = - 2 x + 12$