Precalculus Examples

$y = 2 x - 5$

Step 1

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

Step 2

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

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Step 2.1

Remove parentheses.

$y = 2 (0) - 5$

Step 2.2

Simplify $2 (0) - 5$ .

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Step 2.2.1

Multiply $2$ by $0$ .

$y = 0 - 5$

Step 2.2.2

Subtract $5$ from $0$ .

$y = - 5$

Step 2.3

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

$(0, - 5)$

Step 3

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

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Step 3.1

Remove parentheses.

$y = 2 (1) - 5$

Step 3.2

Simplify $2 (1) - 5$ .

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Step 3.2.1

Multiply $2$ by $1$ .

$y = 2 - 5$

Step 3.2.2

Subtract $5$ from $2$ .

$y = - 3$

Step 3.3

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

$(1, - 3)$

Step 4

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

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Step 4.1

Remove parentheses.

$y = 2 (2) - 5$

Step 4.2

Simplify $2 (2) - 5$ .

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Step 4.2.1

Multiply $2$ by $2$ .

$y = 4 - 5$

Step 4.2.2

Subtract $5$ from $4$ .

$y = - 1$

Step 4.3

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

$(2, - 1)$

Step 5

These are three possible solutions to the equation.

$(0, - 5), (1, - 3), (2, - 1)$

Step 6

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