Algebra Examples

y = 4 x + 1

$y = 4 x + 1$

Step 1

Substitute

- 2

$- 2$ for

x

$x$ and find the result for

y

$y$ .

y = 4 (- 2) + 1

$y = 4 (- 2) + 1$

Step 2

Simplify

4 (- 2) + 1

$4 (- 2) + 1$ .

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Step 2.1

Multiply

4

$4$ by

- 2

$- 2$ .

y = - 8 + 1

$y = - 8 + 1$

Step 2.2

Add

- 8

$- 8$ and

1

$1$ .

y = - 7

$y = - 7$

y = - 7

$y = - 7$

Step 3

Substitute

- 1

$- 1$ for

x

$x$ and find the result for

y

$y$ .

y = 4 (- 1) + 1

$y = 4 (- 1) + 1$

Step 4

Simplify

4 (- 1) + 1

$4 (- 1) + 1$ .

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Step 4.1

Multiply

4

$4$ by

- 1

$- 1$ .

y = - 4 + 1

$y = - 4 + 1$

Step 4.2

Add

- 4

$- 4$ and

1

$1$ .

y = - 3

$y = - 3$

y = - 3

$y = - 3$

Step 5

Substitute

0

$0$ for

x

$x$ and find the result for

y

$y$ .

y = 4 (0) + 1

$y = 4 (0) + 1$

Step 6

Solve the equation for

y

$y$ .

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Step 6.1

Remove parentheses.

y = 4 (0) + 1

$y = 4 (0) + 1$

Step 6.2

Simplify

4 (0) + 1

$4 (0) + 1$ .

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Step 6.2.1

Multiply

4

$4$ by

0

$0$ .

y = 0 + 1

$y = 0 + 1$

Step 6.2.2

Add

0

$0$ and

1

$1$ .

y = 1

$y = 1$

y = 1

$y = 1$

y = 1

$y = 1$

Step 7

Substitute

1

$1$ for

x

$x$ and find the result for

y

$y$ .

y = 4 (1) + 1

$y = 4 (1) + 1$

Step 8

Solve the equation for

y

$y$ .

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Step 8.1

Remove parentheses.

y = 4 (1) + 1

$y = 4 (1) + 1$

Step 8.2

Simplify

4 (1) + 1

$4 (1) + 1$ .

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Step 8.2.1

Multiply

4

$4$ by

1

$1$ .

y = 4 + 1

$y = 4 + 1$

Step 8.2.2

Add

4

$4$ and

1

$1$ .

y = 5

$y = 5$

y = 5

$y = 5$

y = 5

$y = 5$

Step 9

Substitute

2

$2$ for

x

$x$ and find the result for

y

$y$ .

y = 4 (2) + 1

$y = 4 (2) + 1$

Step 10

Solve the equation for

y

$y$ .

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Step 10.1

Remove parentheses.

y = 4 (2) + 1

$y = 4 (2) + 1$

Step 10.2

Simplify

4 (2) + 1

$4 (2) + 1$ .

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Step 10.2.1

Multiply

4

$4$ by

2

$2$ .

y = 8 + 1

$y = 8 + 1$

Step 10.2.2

Add

8

$8$ and

1

$1$ .

y = 9

$y = 9$

y = 9

$y = 9$

y = 9

$y = 9$

Step 11

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

\begin{array}{c} x & y \\ - 2 & - 7 \\ - 1 & - 3 \\ 0 & 1 \\ 1 & 5 \\ 2 & 9 \end{array}

$\begin{array}{c} x & y \\ - 2 & - 7 \\ - 1 & - 3 \\ 0 & 1 \\ 1 & 5 \\ 2 & 9 \end{array}$

Step 12

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