Finite Math Examples

$6 Z - 7 y = 9$

Step 1

Solve for $y$ .

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Step 1.1

Subtract $6 Z$ from both sides of the equation.

$- 7 y = 9 - 6 Z$

Step 1.2

Divide each term in $- 7 y = 9 - 6 Z$ by $- 7$ and simplify.

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Step 1.2.1

Divide each term in $- 7 y = 9 - 6 Z$ by $- 7$ .

$\frac{- 7 y}{- 7} = \frac{9}{- 7} + \frac{- 6 Z}{- 7}$

Step 1.2.2

Simplify the left side.

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Step 1.2.2.1

Cancel the common factor of $- 7$ .

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Step 1.2.2.1.1

Cancel the common factor.

$\frac{- 7 y}{- 7} = \frac{9}{- 7} + \frac{- 6 Z}{- 7}$

Step 1.2.2.1.2

Divide $y$ by $1$ .

$y = \frac{9}{- 7} + \frac{- 6 Z}{- 7}$

Step 1.2.3

Simplify the right side.

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Step 1.2.3.1

Simplify each term.

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Step 1.2.3.1.1

Move the negative in front of the fraction.

$y = - \frac{9}{7} + \frac{- 6 Z}{- 7}$

Step 1.2.3.1.2

Dividing two negative values results in a positive value.

$y = - \frac{9}{7} + \frac{6 Z}{7}$

Step 2

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.