Find Three Ordered Pair Solutions x+7y=17

$x + 7 y = 17$

Step 1

Solve the equation for $y$ .

Subtract $x$ from both sides of the equation.

$7 y = 17 - x$

Divide each term in $7 y = 17 - x$ by $7$ and simplify.

Divide each term in $7 y = 17 - x$ by $7$ .

$\frac{7 y}{7} = \frac{17}{7} + \frac{- x}{7}$

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7 y}{7} = \frac{17}{7} + \frac{- x}{7}$

Divide $y$ by $1$ .

$y = \frac{17}{7} + \frac{- x}{7}$

Simplify the right side.

Move the negative in front of the fraction.

$y = \frac{17}{7} - \frac{x}{7}$

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.

$y = \frac{17}{7} - \frac{0}{7}$

Simplify $\frac{17}{7} - \frac{0}{7}$ .

Combine the numerators over the common denominator.

$y = \frac{17 + 0}{7}$

Add $17$ and $0$ .

$y = \frac{17}{7}$

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

$(0, \frac{17}{7})$

Step 4

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

Remove parentheses.

$y = \frac{17}{7} - \frac{1}{7}$

Simplify $\frac{17}{7} - \frac{1}{7}$ .

Combine the numerators over the common denominator.

$y = \frac{17 - 1}{7}$

Subtract $1$ from $17$ .

$y = \frac{16}{7}$

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

$(1, \frac{16}{7})$

Step 5

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

Remove parentheses.

$y = \frac{17}{7} - \frac{2}{7}$

Simplify $\frac{17}{7} - \frac{2}{7}$ .

Combine the numerators over the common denominator.

$y = \frac{17 - 2}{7}$

Subtract $2$ from $17$ .

$y = \frac{15}{7}$

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

$(2, \frac{15}{7})$

Step 6

These are three possible solutions to the equation.

$(0, \frac{17}{7}), (1, \frac{16}{7}), (2, \frac{15}{7})$

Step 7

Find Three Ordered Pair Solutions x+7y=17

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