Finite Math Examples

$7 x - x y = - 8$

Step 1

Factor $x$ out of $7 x - x y$ .

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Step 1.1

Factor $x$ out of $7 x$ .

$x \cdot 7 - x y = - 8$

Step 1.2

Factor $x$ out of $- x y$ .

$x \cdot 7 + x (- 1 y) = - 8$

Step 1.3

Factor $x$ out of $x \cdot 7 + x (- 1 y)$ .

$x (7 - 1 y) = - 8$

Step 2

Rewrite $- 1 y$ as $- y$ .

$x (7 - y) = - 8$

Step 3

Divide each term in $x (7 - y) = - 8$ by $7 - y$ and simplify.

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Step 3.1

Divide each term in $x (7 - y) = - 8$ by $7 - y$ .

$\frac{x (7 - y)}{7 - y} = \frac{- 8}{7 - y}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $7 - y$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{x (7 - y)}{7 - y} = \frac{- 8}{7 - y}$

Step 3.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 8}{7 - y}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Move the negative in front of the fraction.

$x = - \frac{8}{7 - y}$