Find Three Ordered Pair Solutions 5x-2y=-7

$5 x - 2 y = - 7$

Solve the equation for $y$ .

Tap for more steps…

Subtract $5 x$ from both sides of the equation.

$- 2 y = - 7 - 5 x$

Divide each term by $- 2$ and simplify.

Tap for more steps…

Divide each term in $- 2 y = - 7 - 5 x$ by $- 2$ .

$\frac{- 2 y}{- 2} = \frac{- 7}{- 2} + \frac{- 5 x}{- 2}$

Cancel the common factor of $- 2$ .

Tap for more steps…

Cancel the common factor.

$\frac{- 2 y}{- 2} = \frac{- 7}{- 2} + \frac{- 5 x}{- 2}$

Divide $y$ by $1$ .

$y = \frac{- 7}{- 2} + \frac{- 5 x}{- 2}$

Simplify each term.

Tap for more steps…

Dividing two negative values results in a positive value.

$y = \frac{7}{2} + \frac{- 5 x}{- 2}$

Dividing two negative values results in a positive value.

$y = \frac{7}{2} + \frac{5 x}{2}$

Choose any value for $x$ that is in the domain to plug into the equation.

Choose $0$ to substitute in for $x$ to find the ordered pair.

Tap for more steps…

Remove parentheses.

$y = \frac{7}{2} + \frac{5 (0)}{2}$

Simplify $\frac{7}{2} + \frac{5 (0)}{2}$ .

Tap for more steps…

Multiply $5$ by $0$ .

$y = \frac{7}{2} + \frac{0}{2}$

Combine the numerators over the common denominator.

$y = \frac{7 + 0}{2}$

Add $7$ and $0$ .

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

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

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

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

Tap for more steps…

Remove parentheses.

$y = \frac{7}{2} + \frac{5 (1)}{2}$

Simplify $\frac{7}{2} + \frac{5 (1)}{2}$ .

Tap for more steps…

Multiply $5$ by $1$ .

$y = \frac{7}{2} + \frac{5}{2}$

Combine the numerators over the common denominator.

$y = \frac{7 + 5}{2}$

Add $7$ and $5$ .

$y = \frac{12}{2}$

Divide $12$ by $2$ .

$y = 6$

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

$(1, 6)$

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

Tap for more steps…

Remove parentheses.

$y = \frac{7}{2} + \frac{5 (2)}{2}$

Simplify $\frac{7}{2} + \frac{5 (2)}{2}$ .

Tap for more steps…

Multiply $5$ by $2$ .

$y = \frac{7}{2} + \frac{10}{2}$

Combine the numerators over the common denominator.

$y = \frac{7 + 10}{2}$

Add $7$ and $10$ .

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

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

$(2, \frac{17}{2})$

These are three possible solutions to the equation.

$(0, \frac{7}{2}), (1, 6), (2, \frac{17}{2})$

Find Three Ordered Pair Solutions 5x-2y=-7

Need help with MATH HOMEWORK