Finite Math Examples

$c = 4 x + 5 y$

Step 1

Rewrite the equation as $4 x + 5 y = c$ .

$4 x + 5 y = c$

Step 2

Subtract $5 y$ from both sides of the equation.

$4 x = c - 5 y$

Step 3

Divide each term in $4 x = c - 5 y$ by $4$ and simplify.

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Step 3.1

Divide each term in $4 x = c - 5 y$ by $4$ .

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

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $4$ .

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Step 3.2.1.1

Cancel the common factor.

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

Step 3.2.1.2

Divide $x$ by $1$ .

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

Step 3.3

Simplify the right side.

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Step 3.3.1

Move the negative in front of the fraction.

$x = \frac{c}{4} - \frac{5 y}{4}$