Find Three Ordered Pair Solutions x=4/7y

$x = \frac{4}{7} y$

Step 1

Solve the equation for $y$ .

Rewrite the equation as $\frac{4}{7} y = x$ .

$\frac{4}{7} y = x$

Multiply both sides of the equation by $\frac{7}{4}$ .

$\frac{7}{4} (\frac{4}{7} y) = \frac{7}{4} x$

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{7}{4} (\frac{4}{7} y)$ .

Combine $\frac{4}{7}$ and $y$ .

$\frac{7}{4} \cdot \frac{4 y}{7} = \frac{7}{4} x$

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7}{4} \cdot \frac{4 y}{7} = \frac{7}{4} x$

Rewrite the expression.

$\frac{1}{4} (4 y) = \frac{7}{4} x$

Cancel the common factor of $4$ .

Factor $4$ out of $4 y$ .

$\frac{1}{4} (4 (y)) = \frac{7}{4} x$

Cancel the common factor.

$\frac{1}{4} (4 y) = \frac{7}{4} x$

Rewrite the expression.

$y = \frac{7}{4} x$

Simplify the right side.

Combine $\frac{7}{4}$ and $x$ .

$y = \frac{7 x}{4}$

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.

$y = \frac{7 (0)}{4}$

Simplify $\frac{7 (0)}{4}$ .

Cancel the common factor of $0$ and $4$ .

Factor $4$ out of $7 (0)$ .

$y = \frac{4 (7 \cdot (0))}{4}$

Cancel the common factors.

Factor $4$ out of $4$ .

$y = \frac{4 (7 \cdot (0))}{4 (1)}$

Cancel the common factor.

$y = \frac{4 (7 \cdot (0))}{4 \cdot 1}$

Rewrite the expression.

$y = \frac{7 \cdot (0)}{1}$

Divide $7 \cdot (0)$ by $1$ .

$y = 7 \cdot (0)$

Multiply $7$ by $0$ .

$y = 0$

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

$(0, 0)$

Step 4

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

Remove parentheses.

$y = \frac{7 (1)}{4}$

Multiply $7$ by $1$ .

$y = \frac{7}{4}$

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

$(1, \frac{7}{4})$

Step 5

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

Remove parentheses.

$y = \frac{7 (2)}{4}$

Cancel the common factor of $2$ and $4$ .

Factor $2$ out of $7 (2)$ .

$y = \frac{2 \cdot 7}{4}$

Cancel the common factors.

Factor $2$ out of $4$ .

$y = \frac{2 \cdot 7}{2 \cdot 2}$

Cancel the common factor.

$y = \frac{2 \cdot 7}{2 \cdot 2}$

Rewrite the expression.

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

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

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

Step 6

These are three possible solutions to the equation.

$(0, 0), (1, \frac{7}{4}), (2, \frac{7}{2})$

Step 7

Find Three Ordered Pair Solutions x=4/7y

Related Questions

Support LCMGCF.com by disabling your adblocker.