To find an ordered pair that satisfies the equation \(3x - 8 = -4y\), we can express \(y\) in terms of \(x\) or vice versa. Let's solve for \(y\):
Starting with the equation:
\[ 3x - 8 = -4y \]
We can rearrange it to solve for \(y\):
\[ -4y = 3x - 8 \]
Now, divide both sides by -4:
\[ y = -\frac{3}{4}x + 2 \]
This equation gives us a linear relationship between \(x\) and \(y\). To find a specific ordered pair \((x, y)\), we can choose a value for \(x\) and calculate the corresponding \(y\).
Let's select \(x = 0\):
\[ y = -\frac{3}{4}(0) + 2 = 2 \]
This gives the ordered pair \((0, 2)\).
If you prefer to select a different value for \(x\), let's try \(x = 4\):
\[ y = -\frac{3}{4}(4) + 2 = -3 + 2 = -1 \]
This results in the ordered pair \((4, -1)\).
You can choose any value for \(x\) to generate additional ordered pairs. Here are two examples:
- \((0, 2)\)
- \((4, -1)\)