Finite Math Examples

$8 x (- 2) - 3 y = - 7$

Step 1

Multiply $- 2$ by $8$ .

$- 16 x - 3 y = - 7$

Step 2

Add $16 x$ to both sides of the equation.

$- 3 y = - 7 + 16 x$

Step 3

Divide each term in $- 3 y = - 7 + 16 x$ by $- 3$ and simplify.

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Step 3.1

Divide each term in $- 3 y = - 7 + 16 x$ by $- 3$ .

$\frac{- 3 y}{- 3} = \frac{- 7}{- 3} + \frac{16 x}{- 3}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $- 3$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{- 3 y}{- 3} = \frac{- 7}{- 3} + \frac{16 x}{- 3}$

Step 3.2.1.2

Divide $y$ by $1$ .

$y = \frac{- 7}{- 3} + \frac{16 x}{- 3}$

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

Dividing two negative values results in a positive value.

$y = \frac{7}{3} + \frac{16 x}{- 3}$

Step 3.3.1.2

Move the negative in front of the fraction.

$y = \frac{7}{3} - \frac{16 x}{3}$