Pre-Algebra Examples

5 x - 4 y = 12

$5 x - 4 y = 12$

Step 1

Subtract

5 x

$5 x$ from both sides of the equation.

- 4 y = 12 - 5 x

$- 4 y = 12 - 5 x$

Step 2

Divide each term in

- 4 y = 12 - 5 x

$- 4 y = 12 - 5 x$ by

- 4

$- 4$ and simplify.

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Step 2.1

Divide each term in

- 4 y = 12 - 5 x

$- 4 y = 12 - 5 x$ by

- 4

$- 4$ .

\frac{- 4 y}{- 4} = \frac{12}{- 4} + \frac{- 5 x}{- 4}

$\frac{- 4 y}{- 4} = \frac{12}{- 4} + \frac{- 5 x}{- 4}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of

- 4

$- 4$ .

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Step 2.2.1.1

Cancel the common factor.

\frac{- 4 y}{- 4} = \frac{12}{- 4} + \frac{- 5 x}{- 4}

$\frac{- 4 y}{- 4} = \frac{12}{- 4} + \frac{- 5 x}{- 4}$

Step 2.2.1.2

Divide

y

$y$ by

1

$1$ .

y = \frac{12}{- 4} + \frac{- 5 x}{- 4}

$y = \frac{12}{- 4} + \frac{- 5 x}{- 4}$

y = \frac{12}{- 4} + \frac{- 5 x}{- 4}

$y = \frac{12}{- 4} + \frac{- 5 x}{- 4}$

y = \frac{12}{- 4} + \frac{- 5 x}{- 4}

$y = \frac{12}{- 4} + \frac{- 5 x}{- 4}$

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

- 4

$- 4$ .

y = - 3 + \frac{- 5 x}{- 4}

$y = - 3 + \frac{- 5 x}{- 4}$

Step 2.3.1.2

Dividing two negative values results in a positive value.

y = - 3 + \frac{5 x}{4}

$y = - 3 + \frac{5 x}{4}$

y = - 3 + \frac{5 x}{4}

$y = - 3 + \frac{5 x}{4}$

y = - 3 + \frac{5 x}{4}

$y = - 3 + \frac{5 x}{4}$

y = - 3 + \frac{5 x}{4}

$y = - 3 + \frac{5 x}{4}$

5 x - 4 y = 12

$5 x - 4 y = 12$

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