Find Three Ordered Pair Solutions x-4y=-3

$x - 4 y = - 3$

Step 1

Solve the equation for $y$ .

Subtract $x$ from both sides of the equation.

$- 4 y = - 3 - x$

Divide each term in $- 4 y = - 3 - x$ by $- 4$ and simplify.

Divide each term in $- 4 y = - 3 - x$ by $- 4$ .

$\frac{- 4 y}{- 4} = \frac{- 3}{- 4} + \frac{- x}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 y}{- 4} = \frac{- 3}{- 4} + \frac{- x}{- 4}$

Divide $y$ by $1$ .

$y = \frac{- 3}{- 4} + \frac{- x}{- 4}$

Simplify the right side.

Simplify each term.

Dividing two negative values results in a positive value.

$y = \frac{3}{4} + \frac{- x}{- 4}$

Dividing two negative values results in a positive value.

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

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.

$y = \frac{3}{4} + \frac{0}{4}$

Simplify $\frac{3}{4} + \frac{0}{4}$ .

Combine the numerators over the common denominator.

$y = \frac{3 + 0}{4}$

Add $3$ and $0$ .

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

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

$(0, \frac{3}{4})$

Step 4

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

Remove parentheses.

$y = \frac{3}{4} + \frac{1}{4}$

Simplify $\frac{3}{4} + \frac{1}{4}$ .

Combine the numerators over the common denominator.

$y = \frac{3 + 1}{4}$

Simplify the expression.

Add $3$ and $1$ .

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

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.

$y = \frac{3}{4} + \frac{2}{4}$

Simplify $\frac{3}{4} + \frac{2}{4}$ .

Combine the numerators over the common denominator.

$y = \frac{3 + 2}{4}$

Add $3$ and $2$ .

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

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

$(2, \frac{5}{4})$

Step 6

These are three possible solutions to the equation.

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

Step 7

Find Three Ordered Pair Solutions x-4y=-3

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