Finite Math Examples

$y - 1 = - \frac{3}{8} x$

Step 1

Solve the equation for $y$ .

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Step 1.1

Simplify $- \frac{3}{8} x$ .

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Step 1.1.1

Rewrite.

$y - 1 = 0 + 0 - \frac{3}{8} x$

Step 1.1.2

Simplify by adding zeros.

$y - 1 = - \frac{3}{8} x$

Step 1.1.3

Combine $x$ and $\frac{3}{8}$ .

$y - 1 = - \frac{x \cdot 3}{8}$

Step 1.1.4

Move $3$ to the left of $x$ .

$y - 1 = - \frac{3 x}{8}$

Step 1.2

Add $1$ to both sides of the equation.

$y = - \frac{3 x}{8} + 1$

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.

$y = - \frac{3 (0)}{8} + 1$

Step 3.2

Simplify $- \frac{3 (0)}{8} + 1$ .

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Step 3.2.1

Simplify each term.

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Step 3.2.1.1

Cancel the common factor of $0$ and $8$ .

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Step 3.2.1.1.1

Factor $8$ out of $3 (0)$ .

$y = - \frac{8 (3 \cdot (0))}{8} + 1$

Step 3.2.1.1.2

Cancel the common factors.

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Step 3.2.1.1.2.1

Factor $8$ out of $8$ .

$y = - \frac{8 (3 \cdot (0))}{8 (1)} + 1$

Step 3.2.1.1.2.2

Cancel the common factor.

$y = - \frac{8 (3 \cdot (0))}{8 \cdot 1} + 1$

Step 3.2.1.1.2.3

Rewrite the expression.

$y = - \frac{3 \cdot (0)}{1} + 1$

Step 3.2.1.1.2.4

Divide $3 \cdot (0)$ by $1$ .

$y = - (3 \cdot (0)) + 1$

Step 3.2.1.2

Multiply $- (3 \cdot (0))$ .

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Step 3.2.1.2.1

Multiply $3$ by $0$ .

$y = - 0 + 1$

Step 3.2.1.2.2

Multiply $- 1$ by $0$ .

$y = 0 + 1$

Step 3.2.2

Add $0$ and $1$ .

$y = 1$

Step 3.3

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

$(0, 1)$

Step 4

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

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Step 4.1

Remove parentheses.

$y = - \frac{3 (1)}{8} + 1$

Step 4.2

Simplify $- \frac{3 (1)}{8} + 1$ .

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Step 4.2.1

Multiply $3$ by $1$ .

$y = - \frac{3}{8} + 1$

Step 4.2.2

Write $1$ as a fraction with a common denominator.

$y = - \frac{3}{8} + \frac{8}{8}$

Step 4.2.3

Combine the numerators over the common denominator.

$y = \frac{- 3 + 8}{8}$

Step 4.2.4

Add $- 3$ and $8$ .

$y = \frac{5}{8}$

Step 4.3

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

$(1, \frac{5}{8})$

Step 5

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

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Step 5.1

Remove parentheses.

$y = - \frac{3 (2)}{8} + 1$

Step 5.2

Simplify $- \frac{3 (2)}{8} + 1$ .

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Step 5.2.1

Cancel the common factor of $2$ and $8$ .

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Step 5.2.1.1

Factor $2$ out of $3 (2)$ .

$y = - \frac{2 \cdot 3}{8} + 1$

Step 5.2.1.2

Cancel the common factors.

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Step 5.2.1.2.1

Factor $2$ out of $8$ .

$y = - \frac{2 \cdot 3}{2 \cdot 4} + 1$

Step 5.2.1.2.2

Cancel the common factor.

$y = - \frac{2 \cdot 3}{2 \cdot 4} + 1$

Step 5.2.1.2.3

Rewrite the expression.

$y = - \frac{3}{4} + 1$

Step 5.2.2

Simplify the expression.

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Step 5.2.2.1

Write $1$ as a fraction with a common denominator.

$y = - \frac{3}{4} + \frac{4}{4}$

Step 5.2.2.2

Combine the numerators over the common denominator.

$y = \frac{- 3 + 4}{4}$

Step 5.2.2.3

Add $- 3$ and $4$ .

$y = \frac{1}{4}$

Step 5.3

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

$(2, \frac{1}{4})$

Step 6

These are three possible solutions to the equation.

$(0, 1), (1, \frac{5}{8}), (2, \frac{1}{4})$

Step 7