Find Three Ordered Pair Solutions y=x+2/3

$y = x + \frac{2}{3}$

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.

Remove parentheses.

$y = 0 + \frac{2}{3}$

Remove parentheses.

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

Add $0$ and $\frac{2}{3}$ .

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

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

$(0, \frac{2}{3})$

Step 3

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

Remove parentheses.

$y = 1 + \frac{2}{3}$

Remove parentheses.

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

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

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

$y = \frac{3}{3} + \frac{2}{3}$

Combine the numerators over the common denominator.

$y = \frac{3 + 2}{3}$

Add $3$ and $2$ .

$y = \frac{5}{3}$

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

$(1, \frac{5}{3})$

Step 4

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

Remove parentheses.

$y = 2 + \frac{2}{3}$

Remove parentheses.

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

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

To write $2$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$y = 2 \cdot \frac{3}{3} + \frac{2}{3}$

Combine $2$ and $\frac{3}{3}$ .

$y = \frac{2 \cdot 3}{3} + \frac{2}{3}$

Combine the numerators over the common denominator.

$y = \frac{2 \cdot 3 + 2}{3}$

Simplify the numerator.

Multiply $2$ by $3$ .

$y = \frac{6 + 2}{3}$

Add $6$ and $2$ .

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

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

$(2, \frac{8}{3})$

Step 5

These are three possible solutions to the equation.

$(0, \frac{2}{3}), (1, \frac{5}{3}), (2, \frac{8}{3})$

Step 6

Find Three Ordered Pair Solutions y=x+2/3

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