Tucker Cummings
09/29/2023 · Middle School
Find an ordered pair \( (x, y) \) that is a solution to the equation. \[ \begin{array}{l}x-4 y=4 \\ (x, y)=(\square, \square) \\ \square\end{array} \]
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Step-by-step Solution
To find an ordered pair \( (x, y) \) that satisfies the equation \( x - 4y = 4 \), we can express \( x \) in terms of \( y \):
\[
x = 4y + 4
\]
Now, we can choose a value for \( y \) and then calculate the corresponding value of \( x \). Let's choose \( y = 0 \):
\[
x = 4(0) + 4 = 4
\]
Thus, when \( y = 0 \), we have \( x = 4 \). This gives us the ordered pair:
\[
(x, y) = (4, 0)
\]
To verify, we can substitute \( x = 4 \) and \( y = 0 \) back into the original equation:
\[
4 - 4(0) = 4
\]
This simplifies to:
\[
4 = 4
\]
which is true. Therefore, the ordered pair \( (x, y) \) that is a solution to the equation is:
\[
\boxed{(4, 0)}
\]
Quick Answer
The ordered pair \( (x, y) \) that is a solution to the equation is \( (4, 0) \).
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