Pre-Algebra Examples

$- 9 x + y = 2$

Step 1

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

$- 9 \cdot - 2 + y = 2$

Step 2

Solve the equation for $y$ .

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Step 2.1

Multiply $- 9$ by $- 2$ .

$18 + y = 2$

Step 2.2

Move all terms not containing $y$ to the right side of the equation.

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Step 2.2.1

Subtract $18$ from both sides of the equation.

$y = 2 - 18$

Step 2.2.2

Subtract $18$ from $2$ .

$y = - 16$

Step 3

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

$- 9 \cdot - 1 + y = 2$

Step 4

Solve the equation for $y$ .

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Step 4.1

Multiply $- 9$ by $- 1$ .

$9 + y = 2$

Step 4.2

Move all terms not containing $y$ to the right side of the equation.

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Step 4.2.1

Subtract $9$ from both sides of the equation.

$y = 2 - 9$

Step 4.2.2

Subtract $9$ from $2$ .

$y = - 7$

Step 5

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

$- 9 \cdot 0 + y = 2$

Step 6

Simplify $- 9 \cdot 0 + y$ .

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Step 6.1

Multiply $- 9$ by $0$ .

$0 + y = 2$

Step 6.2

Add $0$ and $y$ .

$y = 2$

Step 7

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

$- 9 \cdot 1 + y = 2$

Step 8

Solve the equation for $y$ .

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Step 8.1

Multiply $- 9$ by $1$ .

$- 9 + y = 2$

Step 8.2

Move all terms not containing $y$ to the right side of the equation.

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Step 8.2.1

Add $9$ to both sides of the equation.

$y = 2 + 9$

Step 8.2.2

Add $2$ and $9$ .

$y = 11$

Step 9

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

$- 9 \cdot 2 + y = 2$

Step 10

Solve the equation for $y$ .

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Step 10.1

Multiply $- 9$ by $2$ .

$- 18 + y = 2$

Step 10.2

Move all terms not containing $y$ to the right side of the equation.

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Step 10.2.1

Add $18$ to both sides of the equation.

$y = 2 + 18$

Step 10.2.2

Add $2$ and $18$ .

$y = 20$

Step 11

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

$\begin{array}{c} x & y \\ - 2 & - 16 \\ - 1 & - 7 \\ 0 & 2 \\ 1 & 11 \\ 2 & 20 \end{array}$

Step 12