Algebra Examples

$y = - 2 x + 5$

Step 1

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

$y = - 2 \cdot - 2 + 5$

Step 2

Solve the equation for $y$ .

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Step 2.1

Remove parentheses.

$y = - 2 \cdot - 2 + 5$

Step 2.2

Simplify $- 2 \cdot - 2 + 5$ .

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Step 2.2.1

Multiply $- 2$ by $- 2$ .

$y = 4 + 5$

Step 2.2.2

Add $4$ and $5$ .

$y = 9$

Step 3

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

$y = - 2 \cdot - 1 + 5$

Step 4

Solve the equation for $y$ .

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Step 4.1

Remove parentheses.

$y = - 2 \cdot - 1 + 5$

Step 4.2

Simplify $- 2 \cdot - 1 + 5$ .

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Step 4.2.1

Multiply $- 2$ by $- 1$ .

$y = 2 + 5$

Step 4.2.2

Add $2$ and $5$ .

$y = 7$

Step 5

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

$y = - 2 \cdot 0 + 5$

Step 6

Solve the equation for $y$ .

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Step 6.1

Remove parentheses.

$y = - 2 \cdot 0 + 5$

Step 6.2

Simplify $- 2 \cdot 0 + 5$ .

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Step 6.2.1

Multiply $- 2$ by $0$ .

$y = 0 + 5$

Step 6.2.2

Add $0$ and $5$ .

$y = 5$

Step 7

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

$y = - 2 \cdot 1 + 5$

Step 8

Solve the equation for $y$ .

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Step 8.1

Remove parentheses.

$y = - 2 \cdot 1 + 5$

Step 8.2

Simplify $- 2 \cdot 1 + 5$ .

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Step 8.2.1

Multiply $- 2$ by $1$ .

$y = - 2 + 5$

Step 8.2.2

Add $- 2$ and $5$ .

$y = 3$

Step 9

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

$y = - 2 \cdot 2 + 5$

Step 10

Solve the equation for $y$ .

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Step 10.1

Remove parentheses.

$y = - 2 \cdot 2 + 5$

Step 10.2

Simplify $- 2 \cdot 2 + 5$ .

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Step 10.2.1

Multiply $- 2$ by $2$ .

$y = - 4 + 5$

Step 10.2.2

Add $- 4$ and $5$ .

$y = 1$

Step 11

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

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

Step 12