Algebra Examples

y = 3 x - 7

$y = 3 x - 7$

Step 1

Substitute

$- 2$ for

$x$ and find the result for

$y$ .

$y = 3 (- 2) - 7$

Step 2

Simplify

$3 (- 2) - 7$ .

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Step 2.1

Multiply

$3$ by

$- 2$ .

$y = - 6 - 7$

Step 2.2

Subtract

$7$ from

$- 6$ .

$y = - 13$

Step 3

Substitute

$- 1$ for

$x$ and find the result for

$y$ .

$y = 3 (- 1) - 7$

Step 4

Simplify

$3 (- 1) - 7$ .

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Step 4.1

Multiply

$3$ by

$- 1$ .

$y = - 3 - 7$

Step 4.2

Subtract

$7$ from

$- 3$ .

$y = - 10$

Step 5

Substitute

$0$ for

$x$ and find the result for

$y$ .

$y = 3 (0) - 7$

Step 6

Solve the equation for

$y$ .

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Step 6.1

Remove parentheses.

$y = 3 (0) - 7$

Step 6.2

Simplify

$3 (0) - 7$ .

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Step 6.2.1

Multiply

$3$ by

$0$ .

$y = 0 - 7$

Step 6.2.2

Subtract

$7$ from

$0$ .

$y = - 7$

Step 7

Substitute

$1$ for

$x$ and find the result for

$y$ .

$y = 3 (1) - 7$

Step 8

Solve the equation for

$y$ .

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Step 8.1

Remove parentheses.

$y = 3 (1) - 7$

Step 8.2

Simplify

$3 (1) - 7$ .

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Step 8.2.1

Multiply

$3$ by

$1$ .

$y = 3 - 7$

Step 8.2.2

Subtract

$7$ from

$3$ .

$y = - 4$

Step 9

Substitute

$2$ for

$x$ and find the result for

$y$ .

$y = 3 (2) - 7$

Step 10

Solve the equation for

$y$ .

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Step 10.1

Remove parentheses.

$y = 3 (2) - 7$

Step 10.2

Simplify

$3 (2) - 7$ .

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Step 10.2.1

Multiply

$3$ by

$2$ .

$y = 6 - 7$

Step 10.2.2

Subtract

$7$ from

$6$ .

$y = - 1$

Step 11

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

$\begin{array}{c} x & y \\ - 2 & - 13 \\ - 1 & - 10 \\ 0 & - 7 \\ 1 & - 4 \\ 2 & - 1 \end{array}$

Step 12