Finite Math Examples

$2 x + y = 20$

Step 1

Subtract $2 x$ from both sides of the equation.

$y = 20 - 2 x$

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.

$y = 20 - 2 \cdot 0$

Step 3.2

Simplify $20 - 2 \cdot 0$ .

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Step 3.2.1

Multiply $- 2$ by $0$ .

$y = 20 + 0$

Step 3.2.2

Add $20$ and $0$ .

$y = 20$

Step 3.3

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

$(0, 20)$

Step 4

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

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Step 4.1

Remove parentheses.

$y = 20 - 2 \cdot 1$

Step 4.2

Simplify $20 - 2 \cdot 1$ .

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Step 4.2.1

Multiply $- 2$ by $1$ .

$y = 20 - 2$

Step 4.2.2

Subtract $2$ from $20$ .

$y = 18$

Step 4.3

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

$(1, 18)$

Step 5

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

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Step 5.1

Remove parentheses.

$y = 20 - 2 \cdot 2$

Step 5.2

Simplify $20 - 2 \cdot 2$ .

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Step 5.2.1

Multiply $- 2$ by $2$ .

$y = 20 - 4$

Step 5.2.2

Subtract $4$ from $20$ .

$y = 16$

Step 5.3

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

$(2, 16)$

Step 6

These are three possible solutions to the equation.

$(0, 20), (1, 18), (2, 16)$

Step 7