Pre-Algebra Examples

$x + y = 1000$

Step 1

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

$(- 2) + y = 1000$

Step 2

Solve the equation for $y$ .

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Step 2.1

Remove parentheses.

$- 2 + y = 1000$

Step 2.2

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

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Step 2.2.1

Add $2$ to both sides of the equation.

$y = 1000 + 2$

Step 2.2.2

Add $1000$ and $2$ .

$y = 1002$

Step 3

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

$(- 1) + y = 1000$

Step 4

Solve the equation for $y$ .

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Step 4.1

Remove parentheses.

$- 1 + y = 1000$

Step 4.2

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

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Step 4.2.1

Add $1$ to both sides of the equation.

$y = 1000 + 1$

Step 4.2.2

Add $1000$ and $1$ .

$y = 1001$

Step 5

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

$(0) + y = 1000$

Step 6

Add $0$ and $y$ .

$y = 1000$

Step 7

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

$(1) + y = 1000$

Step 8

Solve the equation for $y$ .

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Step 8.1

Remove parentheses.

$1 + y = 1000$

Step 8.2

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

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Step 8.2.1

Subtract $1$ from both sides of the equation.

$y = 1000 - 1$

Step 8.2.2

Subtract $1$ from $1000$ .

$y = 999$

Step 9

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

$(2) + y = 1000$

Step 10

Solve the equation for $y$ .

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Step 10.1

Remove parentheses.

$2 + y = 1000$

Step 10.2

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

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Step 10.2.1

Subtract $2$ from both sides of the equation.

$y = 1000 - 2$

Step 10.2.2

Subtract $2$ from $1000$ .

$y = 998$

Step 11

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

$\begin{array}{c} x & y \\ - 2 & 1002 \\ - 1 & 1001 \\ 0 & 1000 \\ 1 & 999 \\ 2 & 998 \end{array}$

Step 12