Finite Math Examples

$5 (4 x - 3 y) = (5) \cdot (- 5)$

Step 1

Multiply $5$ by $- 5$ .

$5 (4 x - 3 y) = - 25$

Step 2

Divide each term in $5 (4 x - 3 y) = - 25$ by $5$ and simplify.

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Step 2.1

Divide each term in $5 (4 x - 3 y) = - 25$ by $5$ .

$\frac{5 (4 x - 3 y)}{5} = \frac{- 25}{5}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $5$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{5 (4 x - 3 y)}{5} = \frac{- 25}{5}$

Step 2.2.1.2

Divide $4 x - 3 y$ by $1$ .

$4 x - 3 y = \frac{- 25}{5}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Divide $- 25$ by $5$ .

$4 x - 3 y = - 5$

Step 3

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

$4 x = - 5 + 3 y$

Step 4

Divide each term in $4 x = - 5 + 3 y$ by $4$ and simplify.

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Step 4.1

Divide each term in $4 x = - 5 + 3 y$ by $4$ .

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

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $4$ .

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Step 4.2.1.1

Cancel the common factor.

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

Step 4.2.1.2

Divide $x$ by $1$ .

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

Step 4.3

Simplify the right side.

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Step 4.3.1

Move the negative in front of the fraction.

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