Find Three Ordered Pair Solutions y=10/3x+3

$y = \frac{10}{3} x + 3$

Step 1

Combine $\frac{10}{3}$ and $x$ .

$y = \frac{10 x}{3} + 3$

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.

Remove parentheses.

$y = \frac{10 (0)}{3} + 3$

Simplify $\frac{10 (0)}{3} + 3$ .

Multiply $10$ by $0$ .

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

Divide $0$ by $3$ .

$y = 0 + 3$

Add $0$ and $3$ .

$y = 3$

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

$(0, 3)$

Step 4

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

Remove parentheses.

$y = \frac{10 (1)}{3} + 3$

Simplify $\frac{10 (1)}{3} + 3$ .

Multiply $10$ by $1$ .

$y = \frac{10}{3} + 3$

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

$y = \frac{10}{3} + 3 \cdot \frac{3}{3}$

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

$y = \frac{10}{3} + \frac{3 \cdot 3}{3}$

Combine the numerators over the common denominator.

$y = \frac{10 + 3 \cdot 3}{3}$

Simplify the numerator.

Multiply $3$ by $3$ .

$y = \frac{10 + 9}{3}$

Add $10$ and $9$ .

$y = \frac{19}{3}$

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

$(1, \frac{19}{3})$

Step 5

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

Remove parentheses.

$y = \frac{10 (2)}{3} + 3$

Simplify $\frac{10 (2)}{3} + 3$ .

Multiply $10$ by $2$ .

$y = \frac{20}{3} + 3$

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

$y = \frac{20}{3} + 3 \cdot \frac{3}{3}$

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

$y = \frac{20}{3} + \frac{3 \cdot 3}{3}$

Combine the numerators over the common denominator.

$y = \frac{20 + 3 \cdot 3}{3}$

Simplify the numerator.

Multiply $3$ by $3$ .

$y = \frac{20 + 9}{3}$

Add $20$ and $9$ .

$y = \frac{29}{3}$

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

$(2, \frac{29}{3})$

Step 6

These are three possible solutions to the equation.

$(0, 3), (1, \frac{19}{3}), (2, \frac{29}{3})$

Step 7

Find Three Ordered Pair Solutions y=10/3x+3

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