Find Three Ordered Pair Solutions f(x)=x-(3+2x)/4

$f (x) = x - \frac{(3 + 2 x)}{4}$

Step 1

Write $f (x) = x - \frac{(3 + 2 x)}{4}$ as an equation.

$y = x - \frac{(3 + 2 x)}{4}$

Step 2

Simplify $x - \frac{3 + 2 x}{4}$ .

To write $x$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

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

Simplify terms.

Combine $x$ and $\frac{4}{4}$ .

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

Combine the numerators over the common denominator.

$y = \frac{x \cdot 4 - (3 + 2 x)}{4}$

Simplify the numerator.

Move $4$ to the left of $x$ .

$y = \frac{4 \cdot x - (3 + 2 x)}{4}$

Apply the distributive property.

$y = \frac{4 x - 1 \cdot 3 - (2 x)}{4}$

Multiply $- 1$ by $3$ .

$y = \frac{4 x - 3 - (2 x)}{4}$

Multiply $2$ by $- 1$ .

$y = \frac{4 x - 3 - 2 x}{4}$

Subtract $2 x$ from $4 x$ .

$y = \frac{2 x - 3}{4}$

Step 3

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

Step 4

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

Remove parentheses.

$y = \frac{2 (0) - 3}{4}$

Simplify $\frac{2 (0) - 3}{4}$ .

Simplify the numerator.

Multiply $2$ by $0$ .

$y = \frac{0 - 3}{4}$

Subtract $3$ from $0$ .

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

Move the negative in front of the fraction.

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

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

$(0, - \frac{3}{4})$

Step 5

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

Remove parentheses.

$y = \frac{2 (1) - 3}{4}$

Simplify $\frac{2 (1) - 3}{4}$ .

Simplify the numerator.

Multiply $2$ by $1$ .

$y = \frac{2 - 3}{4}$

Subtract $3$ from $2$ .

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

Move the negative in front of the fraction.

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

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

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

Step 6

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

Remove parentheses.

$y = \frac{2 (2) - 3}{4}$

Simplify the numerator.

Multiply $2$ by $2$ .

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

Subtract $3$ from $4$ .

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

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

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

Step 7

These are three possible solutions to the equation.

$(0, - \frac{3}{4}), (1, - \frac{1}{4}), (2, \frac{1}{4})$

Step 8

Find Three Ordered Pair Solutions f(x)=x-(3+2x)/4

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