Finite Math Examples

$y = (5) x + 12$

Step 1

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

$y = (5) (- 2) + 12$

Step 2

Simplify $(5) (- 2) + 12$ .

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Step 2.1

Multiply $5$ by $- 2$ .

$y = - 10 + 12$

Step 2.2

Add $- 10$ and $12$ .

$y = 2$

Step 3

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

$y = (5) (- 1) + 12$

Step 4

Simplify $(5) (- 1) + 12$ .

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Step 4.1

Multiply $5$ by $- 1$ .

$y = - 5 + 12$

Step 4.2

Add $- 5$ and $12$ .

$y = 7$

Step 5

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

$y = (5) (0) + 12$

Step 6

Solve the equation for $y$ .

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Step 6.1

Remove parentheses.

$y = (5) (0) + 12$

Step 6.2

Simplify $(5) (0) + 12$ .

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Step 6.2.1

Multiply $5$ by $0$ .

$y = 0 + 12$

Step 6.2.2

Add $0$ and $12$ .

$y = 12$

Step 7

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

$y = (5) (1) + 12$

Step 8

Solve the equation for $y$ .

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Step 8.1

Remove parentheses.

$y = (5) (1) + 12$

Step 8.2

Simplify $(5) (1) + 12$ .

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Step 8.2.1

Multiply $5$ by $1$ .

$y = 5 + 12$

Step 8.2.2

Add $5$ and $12$ .

$y = 17$

Step 9

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

$y = (5) (2) + 12$

Step 10

Solve the equation for $y$ .

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Step 10.1

Remove parentheses.

$y = (5) (2) + 12$

Step 10.2

Simplify $(5) (2) + 12$ .

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Step 10.2.1

Multiply $5$ by $2$ .

$y = 10 + 12$

Step 10.2.2

Add $10$ and $12$ .

$y = 22$

Step 11

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

$\begin{array}{c} x & y \\ - 2 & 2 \\ - 1 & 7 \\ 0 & 12 \\ 1 & 17 \\ 2 & 22 \end{array}$

Step 12