Question

Determine which of the following ordered pairs is a solution to the equation 3x - 8 = - 4y.
舍
（1 point）
（-1,1）
（0，-2）
(1,1)
(0,2)

Answer 1

To determine which of the given ordered pairs is a solution to the equation \(3x - 8 = -4y\), we need to substitute the \(x\) and \(y\) values from each ordered pair into the equation and check if the equation holds true.

1. For the ordered pair \((-1, 1)\):
\[
3(-1) - 8 = -4(1) \\
-3 - 8 = -4 \\
-11 \neq -4 \quad \text{(not a solution)}
\]

2. For the ordered pair \((0, -2)\):
\[
3(0) - 8 = -4(-2) \\
-8 = 8 \quad \text{(not a solution)}
\]

3. For the ordered pair \((1, 1)\):
\[
3(1) - 8 = -4(1) \\
3 - 8 = -4 \\
-5 \neq -4 \quad \text{(not a solution)}
\]

4. For the ordered pair \((0, 2)\):
\[
3(0) - 8 = -4(2) \\
-8 = -8 \quad \text{(this is a solution)}
\]

The only ordered pair that is a solution to the equation \(3x - 8 = -4y\) is \((0, 2)\).