Find Three Ordered Pair Solutions -x+7y=41

$- x + 7 y = 41$

Step 1

Solve the equation for $y$ .

Add $x$ to both sides of the equation.

$7 y = 41 + x$

Divide each term in $7 y = 41 + x$ by $7$ and simplify.

Divide each term in $7 y = 41 + x$ by $7$ .

$\frac{7 y}{7} = \frac{41}{7} + \frac{x}{7}$

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7 y}{7} = \frac{41}{7} + \frac{x}{7}$

Divide $y$ by $1$ .

$y = \frac{41}{7} + \frac{x}{7}$

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.

$y = \frac{41}{7} + \frac{0}{7}$

Simplify $\frac{41}{7} + \frac{0}{7}$ .

Combine the numerators over the common denominator.

$y = \frac{41 + 0}{7}$

Add $41$ and $0$ .

$y = \frac{41}{7}$

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

$(0, \frac{41}{7})$

Step 4

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

Remove parentheses.

$y = \frac{41}{7} + \frac{1}{7}$

Simplify $\frac{41}{7} + \frac{1}{7}$ .

Combine the numerators over the common denominator.

$y = \frac{41 + 1}{7}$

Simplify the expression.

Add $41$ and $1$ .

$y = \frac{42}{7}$

Divide $42$ by $7$ .

$y = 6$

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

$(1, 6)$

Step 5

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

Remove parentheses.

$y = \frac{41}{7} + \frac{2}{7}$

Simplify $\frac{41}{7} + \frac{2}{7}$ .

Combine the numerators over the common denominator.

$y = \frac{41 + 2}{7}$

Add $41$ and $2$ .

$y = \frac{43}{7}$

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

$(2, \frac{43}{7})$

Step 6

These are three possible solutions to the equation.

$(0, \frac{41}{7}), (1, 6), (2, \frac{43}{7})$

Step 7

Find Three Ordered Pair Solutions -x+7y=41

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