Basic Math Examples

$3.44 x + 9.96 y = 24 (8.33)$

Step 1

Multiply $24$ by $8.33$ .

$3.44 x + 9.96 y = 199.92$

Step 2

Subtract $3.44 x$ from both sides of the equation.

$9.96 y = 199.92 - 3.44 x$

Step 3

Divide each term in $9.96 y = 199.92 - 3.44 x$ by $9.96$ and simplify.

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Step 3.1

Divide each term in $9.96 y = 199.92 - 3.44 x$ by $9.96$ .

$\frac{9.96 y}{9.96} = \frac{199.92}{9.96} + \frac{- 3.44 x}{9.96}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $9.96$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{9.96 y}{9.96} = \frac{199.92}{9.96} + \frac{- 3.44 x}{9.96}$

Step 3.2.1.2

Divide $y$ by $1$ .

$y = \frac{199.92}{9.96} + \frac{- 3.44 x}{9.96}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Simplify each term.

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Step 3.3.1.1

Divide $199.92$ by $9.96$ .

$y = 20.07228915 + \frac{- 3.44 x}{9.96}$

Step 3.3.1.2

Move the negative in front of the fraction.

$y = 20.07228915 - \frac{3.44 x}{9.96}$

Step 3.3.1.3

Factor $3.44$ out of $3.44 x$ .

$y = 20.07228915 - \frac{3.44 (x)}{9.96}$

Step 3.3.1.4

Factor $9.96$ out of $9.96$ .

$y = 20.07228915 - \frac{3.44 (x)}{9.96 (1)}$

Step 3.3.1.5

Separate fractions.

$y = 20.07228915 - (\frac{3.44}{9.96} \cdot \frac{x}{1})$

Step 3.3.1.6

Divide $3.44$ by $9.96$ .

$y = 20.07228915 - (0.34538152 \frac{x}{1})$

Step 3.3.1.7

Divide $x$ by $1$ .

$y = 20.07228915 - (0.34538152 x)$

Step 3.3.1.8

Multiply $0.34538152$ by $- 1$ .

$y = 20.07228915 - 0.34538152 x$