Finite Math Examples

$3.8 x + 1.9 y = 152$

Step 1

Subtract $1.9 y$ from both sides of the equation.

$3.8 x = 152 - 1.9 y$

Step 2

Divide each term in $3.8 x = 152 - 1.9 y$ by $3.8$ and simplify.

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Step 2.1

Divide each term in $3.8 x = 152 - 1.9 y$ by $3.8$ .

$\frac{3.8 x}{3.8} = \frac{152}{3.8} + \frac{- 1.9 y}{3.8}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $3.8$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{3.8 x}{3.8} = \frac{152}{3.8} + \frac{- 1.9 y}{3.8}$

Step 2.2.1.2

Divide $x$ by $1$ .

$x = \frac{152}{3.8} + \frac{- 1.9 y}{3.8}$

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 $152$ by $3.8$ .

$x = 40 + \frac{- 1.9 y}{3.8}$

Step 2.3.1.2

Move the negative in front of the fraction.

$x = 40 - \frac{1.9 y}{3.8}$

Step 2.3.1.3

Factor $1.9$ out of $1.9 y$ .

$x = 40 - \frac{1.9 (y)}{3.8}$

Step 2.3.1.4

Factor $3.8$ out of $3.8$ .

$x = 40 - \frac{1.9 (y)}{3.8 (1)}$

Step 2.3.1.5

Separate fractions.

$x = 40 - (\frac{1.9}{3.8} \cdot \frac{y}{1})$

Step 2.3.1.6

Divide $1.9$ by $3.8$ .

$x = 40 - (0.5 \frac{y}{1})$

Step 2.3.1.7

Cancel the common factor of $0.5$ .

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Step 2.3.1.7.1

Factor $0.5$ out of $1$ .

$x = 40 - (0.5 \frac{y}{0.5 \cdot 2})$

Step 2.3.1.7.2

Cancel the common factor.

$x = 40 - (0.5 \frac{y}{0.5 \cdot 2})$

Step 2.3.1.7.3

Rewrite the expression.

$x = 40 - \frac{y}{2}$