Finite Math Examples

$49 x + 7 y + 8 y = - 79$

Step 1

Add $7 y$ and $8 y$ .

$49 x + 15 y = - 79$

Step 2

Subtract $49 x$ from both sides of the equation.

$15 y = - 79 - 49 x$

Step 3

Divide each term in $15 y = - 79 - 49 x$ by $15$ and simplify.

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Step 3.1

Divide each term in $15 y = - 79 - 49 x$ by $15$ .

$\frac{15 y}{15} = \frac{- 79}{15} + \frac{- 49 x}{15}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $15$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{15 y}{15} = \frac{- 79}{15} + \frac{- 49 x}{15}$

Step 3.2.1.2

Divide $y$ by $1$ .

$y = \frac{- 79}{15} + \frac{- 49 x}{15}$

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

Move the negative in front of the fraction.

$y = - \frac{79}{15} + \frac{- 49 x}{15}$

Step 3.3.1.2

Move the negative in front of the fraction.

$y = - \frac{79}{15} - \frac{49 x}{15}$