Questions: Functions, Lines, and Systems Finding a solution to a linear equation in two variables Find an ordered pair (x, y) that is a solution to the equation. x-4y=8 (x, y)= ,

Functions, Lines, and Systems Finding a solution to a linear equation in two variables

Find an ordered pair (x, y) that is a solution to the equation. x-4y=8 (x, y)= ,

Transcript text: Functions, Lines, and Systems Finding a solution to a linear equation in two variables Find an ordered pair $(x, y)$ that is a solution to the equation. \[ x-4 y=8 \] \[ (x, y)=\square, \square \]

Solution

Solution Steps

Step 1: Rewrite the equation

Start with the given equation: \[ x - 4y = 8 \]

Step 2: Solve for one variable

Solve for $x$ in terms of $y$: \[ x = 8 + 4y \]

Step 3: Choose a value for $y$

Let $y = 0$. Substitute this value into the equation to find $x$: \[ x = 8 + 4(0) = 8 \]

Step 4: Write the ordered pair

The ordered pair $(x, y)$ that satisfies the equation is: \[ (x, y) = (8, 0) \]

Final Answer

$(x, y) = \boxed{(8, 0)}$

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