Find Three Ordered Pair Solutions y=10/7x-7

$y = \frac{10}{7} x - 7$

Step 1

Combine $\frac{10}{7}$ and $x$ .

$y = \frac{10 x}{7} - 7$

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.

$y = \frac{10 (0)}{7} - 7$

Simplify $\frac{10 (0)}{7} - 7$ .

Multiply $10$ by $0$ .

$y = \frac{0}{7} - 7$

Divide $0$ by $7$ .

$y = 0 - 7$

Subtract $7$ from $0$ .

$y = - 7$

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

$(0, - 7)$

Step 4

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

Remove parentheses.

$y = \frac{10 (1)}{7} - 7$

Simplify $\frac{10 (1)}{7} - 7$ .

Multiply $10$ by $1$ .

$y = \frac{10}{7} - 7$

To write $- 7$ as a fraction with a common denominator, multiply by $\frac{7}{7}$ .

$y = \frac{10}{7} - 7 \cdot \frac{7}{7}$

Combine $- 7$ and $\frac{7}{7}$ .

$y = \frac{10}{7} + \frac{- 7 \cdot 7}{7}$

Combine the numerators over the common denominator.

$y = \frac{10 - 7 \cdot 7}{7}$

Simplify the numerator.

Multiply $- 7$ by $7$ .

$y = \frac{10 - 49}{7}$

Subtract $49$ from $10$ .

$y = \frac{- 39}{7}$

Move the negative in front of the fraction.

$y = - \frac{39}{7}$

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

$(1, - \frac{39}{7})$

Step 5

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

Remove parentheses.

$y = \frac{10 (2)}{7} - 7$

Simplify $\frac{10 (2)}{7} - 7$ .

Multiply $10$ by $2$ .

$y = \frac{20}{7} - 7$

To write $- 7$ as a fraction with a common denominator, multiply by $\frac{7}{7}$ .

$y = \frac{20}{7} - 7 \cdot \frac{7}{7}$

Combine $- 7$ and $\frac{7}{7}$ .

$y = \frac{20}{7} + \frac{- 7 \cdot 7}{7}$

Combine the numerators over the common denominator.

$y = \frac{20 - 7 \cdot 7}{7}$

Simplify the numerator.

Multiply $- 7$ by $7$ .

$y = \frac{20 - 49}{7}$

Subtract $49$ from $20$ .

$y = \frac{- 29}{7}$

Move the negative in front of the fraction.

$y = - \frac{29}{7}$

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

$(2, - \frac{29}{7})$

Step 6

These are three possible solutions to the equation.

$(0, - 7), (1, - \frac{39}{7}), (2, - \frac{29}{7})$

Step 7

Find Three Ordered Pair Solutions y=10/7x-7

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