Algebra Examples

y = - 3 x + 2

$y = - 3 x + 2$

Step 1

Substitute

- 2

$- 2$ for

x

$x$ and find the result for

y

$y$ .

y = - 3 \cdot - 2 + 2

$y = - 3 \cdot - 2 + 2$

Step 2

Solve the equation for

y

$y$ .

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Step 2.1

Remove parentheses.

y = - 3 \cdot - 2 + 2

$y = - 3 \cdot - 2 + 2$

Step 2.2

Simplify

- 3 \cdot - 2 + 2

$- 3 \cdot - 2 + 2$ .

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Step 2.2.1

Multiply

- 3

$- 3$ by

- 2

$- 2$ .

y = 6 + 2

$y = 6 + 2$

Step 2.2.2

Add

6

$6$ and

2

$2$ .

y = 8

$y = 8$

y = 8

$y = 8$

y = 8

$y = 8$

Step 3

Substitute

- 1

$- 1$ for

x

$x$ and find the result for

y

$y$ .

y = - 3 \cdot - 1 + 2

$y = - 3 \cdot - 1 + 2$

Step 4

Solve the equation for

y

$y$ .

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Step 4.1

Remove parentheses.

y = - 3 \cdot - 1 + 2

$y = - 3 \cdot - 1 + 2$

Step 4.2

Simplify

- 3 \cdot - 1 + 2

$- 3 \cdot - 1 + 2$ .

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Step 4.2.1

Multiply

- 3

$- 3$ by

- 1

$- 1$ .

y = 3 + 2

$y = 3 + 2$

Step 4.2.2

Add

3

$3$ and

2

$2$ .

y = 5

$y = 5$

y = 5

$y = 5$

y = 5

$y = 5$

Step 5

Substitute

0

$0$ for

x

$x$ and find the result for

y

$y$ .

y = - 3 \cdot 0 + 2

$y = - 3 \cdot 0 + 2$

Step 6

Solve the equation for

y

$y$ .

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Step 6.1

Remove parentheses.

y = - 3 \cdot 0 + 2

$y = - 3 \cdot 0 + 2$

Step 6.2

Simplify

- 3 \cdot 0 + 2

$- 3 \cdot 0 + 2$ .

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Step 6.2.1

Multiply

- 3

$- 3$ by

0

$0$ .

y = 0 + 2

$y = 0 + 2$

Step 6.2.2

Add

0

$0$ and

2

$2$ .

y = 2

$y = 2$

y = 2

$y = 2$

y = 2

$y = 2$

Step 7

Substitute

1

$1$ for

x

$x$ and find the result for

y

$y$ .

y = - 3 \cdot 1 + 2

$y = - 3 \cdot 1 + 2$

Step 8

Solve the equation for

y

$y$ .

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Step 8.1

Remove parentheses.

y = - 3 \cdot 1 + 2

$y = - 3 \cdot 1 + 2$

Step 8.2

Simplify

- 3 \cdot 1 + 2

$- 3 \cdot 1 + 2$ .

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Step 8.2.1

Multiply

- 3

$- 3$ by

1

$1$ .

y = - 3 + 2

$y = - 3 + 2$

Step 8.2.2

Add

- 3

$- 3$ and

2

$2$ .

y = - 1

$y = - 1$

y = - 1

$y = - 1$

y = - 1

$y = - 1$

Step 9

Substitute

2

$2$ for

x

$x$ and find the result for

y

$y$ .

y = - 3 \cdot 2 + 2

$y = - 3 \cdot 2 + 2$

Step 10

Solve the equation for

y

$y$ .

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Step 10.1

Remove parentheses.

y = - 3 \cdot 2 + 2

$y = - 3 \cdot 2 + 2$

Step 10.2

Simplify

- 3 \cdot 2 + 2

$- 3 \cdot 2 + 2$ .

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Step 10.2.1

Multiply

- 3

$- 3$ by

2

$2$ .

y = - 6 + 2

$y = - 6 + 2$

Step 10.2.2

Add

- 6

$- 6$ and

2

$2$ .

y = - 4

$y = - 4$

y = - 4

$y = - 4$

y = - 4

$y = - 4$

Step 11

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

\begin{matrix} x & y - 2 & 8 - 1 & 5 0 & 2 1 & - 1 2 & - 4 \end{matrix}

$\begin{array}{c} x & y \\ - 2 & 8 \\ - 1 & 5 \\ 0 & 2 \\ 1 & - 1 \\ 2 & - 4 \end{array}$

Step 12

⎡ ⎢ ⎣ \begin{matrix} x^{2} & \frac{1}{2} \sqrt{π} & \int x d x \end{matrix} ⎤ ⎥ ⎦

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$