Pre-Algebra Examples

$x - y = 0$

Step 1

Solve the equation for $y$ .

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Step 1.1

Subtract $x$ from both sides of the equation.

$- y = - x$

Step 1.2

Divide each term in $- y = - x$ by $- 1$ and simplify.

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Step 1.2.1

Divide each term in $- y = - x$ by $- 1$ .

$\frac{- y}{- 1} = \frac{- x}{- 1}$

Step 1.2.2

Simplify the left side.

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Step 1.2.2.1

Dividing two negative values results in a positive value.

$\frac{y}{1} = \frac{- x}{- 1}$

Step 1.2.2.2

Divide $y$ by $1$ .

$y = \frac{- x}{- 1}$

Step 1.2.3

Simplify the right side.

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Step 1.2.3.1

Dividing two negative values results in a positive value.

$y = \frac{x}{1}$

Step 1.2.3.2

Divide $x$ by $1$ .

$y = x$

Step 2

Choose any value for $x$ that is in the domain to plug into the equation.

Step 3

Choose $0$ to substitute in for $x$ to find the ordered pair.

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Step 3.1

Remove parentheses.

$y = 0$

Step 3.2

Use the $x$ and $y$ values to form the ordered pair.

$(0, 0)$

Step 4

Choose $1$ to substitute in for $x$ to find the ordered pair.

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Step 4.1

Remove parentheses.

$y = 1$

Step 4.2

Use the $x$ and $y$ values to form the ordered pair.

$(1, 1)$

Step 5

Choose $2$ to substitute in for $x$ to find the ordered pair.

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Step 5.1

Remove parentheses.

$y = 2$

Step 5.2

Use the $x$ and $y$ values to form the ordered pair.

$(2, 2)$

Step 6

These are three possible solutions to the equation.

$(0, 0), (1, 1), (2, 2)$

Step 7