Algebra Examples

3 x + 4 y = 12

$3 x + 4 y = 12$

Step 1

Subtract

4 y

$4 y$ from both sides of the equation.

3 x = 12 - 4 y

$3 x = 12 - 4 y$

Step 2

Divide each term in

3 x = 12 - 4 y

$3 x = 12 - 4 y$ by

3

$3$ and simplify.

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Step 2.1

Divide each term in

3 x = 12 - 4 y

$3 x = 12 - 4 y$ by

3

$3$ .

\frac{3 x}{3} = \frac{12}{3} + \frac{- 4 y}{3}

$\frac{3 x}{3} = \frac{12}{3} + \frac{- 4 y}{3}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of

3

$3$ .

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Step 2.2.1.1

Cancel the common factor.

\frac{3 x}{3} = \frac{12}{3} + \frac{- 4 y}{3}

$\frac{3 x}{3} = \frac{12}{3} + \frac{- 4 y}{3}$

Step 2.2.1.2

Divide

x

$x$ by

1

$1$ .

x = \frac{12}{3} + \frac{- 4 y}{3}

$x = \frac{12}{3} + \frac{- 4 y}{3}$

x = \frac{12}{3} + \frac{- 4 y}{3}

$x = \frac{12}{3} + \frac{- 4 y}{3}$

x = \frac{12}{3} + \frac{- 4 y}{3}

$x = \frac{12}{3} + \frac{- 4 y}{3}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Simplify each term.

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Step 2.3.1.1

Divide

12

$12$ by

3

$3$ .

x = 4 + \frac{- 4 y}{3}

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

Step 2.3.1.2

Move the negative in front of the fraction.

x = 4 - \frac{4 y}{3}

$x = 4 - \frac{4 y}{3}$

x = 4 - \frac{4 y}{3}

$x = 4 - \frac{4 y}{3}$

x = 4 - \frac{4 y}{3}

$x = 4 - \frac{4 y}{3}$

x = 4 - \frac{4 y}{3}

$x = 4 - \frac{4 y}{3}$

[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$