Finite Math Examples

$4 x = 13 y + 2$

Step 1

Rewrite the equation as $13 y + 2 = 4 x$ .

$13 y + 2 = 4 x$

Step 2

Subtract $2$ from both sides of the equation.

$13 y = 4 x - 2$

Step 3

Divide each term in $13 y = 4 x - 2$ by $13$ and simplify.

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Step 3.1

Divide each term in $13 y = 4 x - 2$ by $13$ .

$\frac{13 y}{13} = \frac{4 x}{13} + \frac{- 2}{13}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $13$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{13 y}{13} = \frac{4 x}{13} + \frac{- 2}{13}$

Step 3.2.1.2

Divide $y$ by $1$ .

$y = \frac{4 x}{13} + \frac{- 2}{13}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Move the negative in front of the fraction.

$y = \frac{4 x}{13} - \frac{2}{13}$