Find Three Ordered Pair Solutions x+4y=5

$x + 4 y = 5$

Step 1

Solve the equation for $y$ .

Subtract $x$ from both sides of the equation.

$4 y = 5 - x$

Divide each term in $4 y = 5 - x$ by $4$ and simplify.

Divide each term in $4 y = 5 - x$ by $4$ .

$\frac{4 y}{4} = \frac{5}{4} + \frac{- x}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 y}{4} = \frac{5}{4} + \frac{- x}{4}$

Divide $y$ by $1$ .

$y = \frac{5}{4} + \frac{- x}{4}$

Simplify the right side.

Move the negative in front of the fraction.

$y = \frac{5}{4} - \frac{x}{4}$

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.

$y = \frac{5}{4} - \frac{0}{4}$

Simplify $\frac{5}{4} - \frac{0}{4}$ .

Combine the numerators over the common denominator.

$y = \frac{5 + 0}{4}$

Add $5$ and $0$ .

$y = \frac{5}{4}$

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

$(0, \frac{5}{4})$

Step 4

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

Remove parentheses.

$y = \frac{5}{4} - \frac{1}{4}$

Simplify $\frac{5}{4} - \frac{1}{4}$ .

Combine the numerators over the common denominator.

$y = \frac{5 - 1}{4}$

Simplify the expression.

Subtract $1$ from $5$ .

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

Divide $4$ by $4$ .

$y = 1$

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

$(1, 1)$

Step 5

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

Remove parentheses.

$y = \frac{5}{4} - \frac{2}{4}$

Simplify $\frac{5}{4} - \frac{2}{4}$ .

Combine the numerators over the common denominator.

$y = \frac{5 - 2}{4}$

Subtract $2$ from $5$ .

$y = \frac{3}{4}$

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

$(2, \frac{3}{4})$

Step 6

These are three possible solutions to the equation.

$(0, \frac{5}{4}), (1, 1), (2, \frac{3}{4})$

Step 7

Find Three Ordered Pair Solutions x+4y=5

Related Questions

Support LCMGCF.com by disabling your adblocker.