Finite Math Examples

$2 x - y = - 2$

Step 1

Substitute $- 2$ for $x$ and find the result for $y$ .

$2 (- 2) - y = - 2$

Step 2

Solve the equation for $y$ .

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Step 2.1

Multiply $2$ by $- 2$ .

$- 4 - y = - 2$

Step 2.2

Move all terms not containing $y$ to the right side of the equation.

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Step 2.2.1

Add $4$ to both sides of the equation.

$- y = - 2 + 4$

Step 2.2.2

Add $- 2$ and $4$ .

$- y = 2$

Step 2.3

Divide each term in $- y = 2$ by $- 1$ and simplify.

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Step 2.3.1

Divide each term in $- y = 2$ by $- 1$ .

$\frac{- y}{- 1} = \frac{2}{- 1}$

Step 2.3.2

Simplify the left side.

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Step 2.3.2.1

Dividing two negative values results in a positive value.

$\frac{y}{1} = \frac{2}{- 1}$

Step 2.3.2.2

Divide $y$ by $1$ .

$y = \frac{2}{- 1}$

Step 2.3.3

Simplify the right side.

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Step 2.3.3.1

Divide $2$ by $- 1$ .

$y = - 2$

Step 3

Substitute $- 1$ for $x$ and find the result for $y$ .

$2 (- 1) - y = - 2$

Step 4

Solve the equation for $y$ .

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Step 4.1

Multiply $2$ by $- 1$ .

$- 2 - y = - 2$

Step 4.2

Move all terms not containing $y$ to the right side of the equation.

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Step 4.2.1

Add $2$ to both sides of the equation.

$- y = - 2 + 2$

Step 4.2.2

Add $- 2$ and $2$ .

$- y = 0$

Step 4.3

Divide each term in $- y = 0$ by $- 1$ and simplify.

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Step 4.3.1

Divide each term in $- y = 0$ by $- 1$ .

$\frac{- y}{- 1} = \frac{0}{- 1}$

Step 4.3.2

Simplify the left side.

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Step 4.3.2.1

Dividing two negative values results in a positive value.

$\frac{y}{1} = \frac{0}{- 1}$

Step 4.3.2.2

Divide $y$ by $1$ .

$y = \frac{0}{- 1}$

Step 4.3.3

Simplify the right side.

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Step 4.3.3.1

Divide $0$ by $- 1$ .

$y = 0$

Step 5

Substitute $0$ for $x$ and find the result for $y$ .

$2 (0) - y = - 2$

Step 6

Solve the equation for $y$ .

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Step 6.1

Simplify $2 (0) - y$ .

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Step 6.1.1

Multiply $2$ by $0$ .

$0 - y = - 2$

Step 6.1.2

Subtract $y$ from $0$ .

$- y = - 2$

Step 6.2

Divide each term in $- y = - 2$ by $- 1$ and simplify.

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Step 6.2.1

Divide each term in $- y = - 2$ by $- 1$ .

$\frac{- y}{- 1} = \frac{- 2}{- 1}$

Step 6.2.2

Simplify the left side.

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Step 6.2.2.1

Dividing two negative values results in a positive value.

$\frac{y}{1} = \frac{- 2}{- 1}$

Step 6.2.2.2

Divide $y$ by $1$ .

$y = \frac{- 2}{- 1}$

Step 6.2.3

Simplify the right side.

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Step 6.2.3.1

Divide $- 2$ by $- 1$ .

$y = 2$

Step 7

Substitute $1$ for $x$ and find the result for $y$ .

$2 (1) - y = - 2$

Step 8

Solve the equation for $y$ .

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Step 8.1

Multiply $2$ by $1$ .

$2 - y = - 2$

Step 8.2

Move all terms not containing $y$ to the right side of the equation.

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Step 8.2.1

Subtract $2$ from both sides of the equation.

$- y = - 2 - 2$

Step 8.2.2

Subtract $2$ from $- 2$ .

$- y = - 4$

Step 8.3

Divide each term in $- y = - 4$ by $- 1$ and simplify.

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Step 8.3.1

Divide each term in $- y = - 4$ by $- 1$ .

$\frac{- y}{- 1} = \frac{- 4}{- 1}$

Step 8.3.2

Simplify the left side.

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Step 8.3.2.1

Dividing two negative values results in a positive value.

$\frac{y}{1} = \frac{- 4}{- 1}$

Step 8.3.2.2

Divide $y$ by $1$ .

$y = \frac{- 4}{- 1}$

Step 8.3.3

Simplify the right side.

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Step 8.3.3.1

Divide $- 4$ by $- 1$ .

$y = 4$

Step 9

Substitute $2$ for $x$ and find the result for $y$ .

$2 (2) - y = - 2$

Step 10

Solve the equation for $y$ .

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Step 10.1

Multiply $2$ by $2$ .

$4 - y = - 2$

Step 10.2

Move all terms not containing $y$ to the right side of the equation.

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Step 10.2.1

Subtract $4$ from both sides of the equation.

$- y = - 2 - 4$

Step 10.2.2

Subtract $4$ from $- 2$ .

$- y = - 6$

Step 10.3

Divide each term in $- y = - 6$ by $- 1$ and simplify.

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Step 10.3.1

Divide each term in $- y = - 6$ by $- 1$ .

$\frac{- y}{- 1} = \frac{- 6}{- 1}$

Step 10.3.2

Simplify the left side.

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Step 10.3.2.1

Dividing two negative values results in a positive value.

$\frac{y}{1} = \frac{- 6}{- 1}$

Step 10.3.2.2

Divide $y$ by $1$ .

$y = \frac{- 6}{- 1}$

Step 10.3.3

Simplify the right side.

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Step 10.3.3.1

Divide $- 6$ by $- 1$ .

$y = 6$

Step 11

This is a table of possible values to use when graphing the equation.

$\begin{array}{c} x & y \\ - 2 & - 2 \\ - 1 & 0 \\ 0 & 2 \\ 1 & 4 \\ 2 & 6 \end{array}$

Step 12