Algebra Examples

$5 - 3 (x + 1) = 2 y - 3 x + 2$

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 $5 - 3 (x + 1)$ .

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Step 2.1.1.1

Simplify each term.

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Step 2.1.1.1.1

Apply the distributive property.

$5 - 3 x - 3 \cdot 1 = 2 y - 3 x + 2$

Step 2.1.1.1.2

Multiply $- 3$ by $1$ .

$5 - 3 x - 3 = 2 y - 3 x + 2$

Step 2.1.1.2

Subtract $3$ from $5$ .

$- 3 x + 2 = 2 y - 3 x + 2$

Step 2.2

Rewrite the equation as $2 y - 3 x + 2 = - 3 x + 2$ .

$2 y - 3 x + 2 = - 3 x + 2$

Step 2.3

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

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Step 2.3.1

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

$2 y + 2 = - 3 x + 2 + 3 x$

Step 2.3.2

Subtract $2$ from both sides of the equation.

$2 y = - 3 x + 2 + 3 x - 2$

Step 2.3.3

Combine the opposite terms in $- 3 x + 2 + 3 x - 2$ .

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Step 2.3.3.1

Add $- 3 x$ and $3 x$ .

$2 y = 0 + 2 - 2$

Step 2.3.3.2

Add $0$ and $2$ .

$2 y = 2 - 2$

Step 2.3.3.3

Subtract $2$ from $2$ .

$2 y = 0$

Step 2.4

Divide each term in $2 y = 0$ by $2$ and simplify.

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Step 2.4.1

Divide each term in $2 y = 0$ by $2$ .

$\frac{2 y}{2} = \frac{0}{2}$

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.

$\frac{2 y}{2} = \frac{0}{2}$

Step 2.4.2.1.2

Divide $y$ by $1$ .

$y = \frac{0}{2}$

Step 2.4.3

Simplify the right side.

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Step 2.4.3.1

Divide $0$ by $2$ .

$y = 0$