Question

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

Answer 1

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

1. For the ordered pair \( (0, 2) \):
\[
3(0) - 8 = -4(2) \\
-8 = -8 \quad \text{(True)}
\]

2. For the ordered pair \( (1, 1) \):
\[
3(1) - 8 = -4(1) \\
3 - 8 = -4 \\
-5 = -4 \quad \text{(False)}
\]

3. For the ordered pair \( (-1, 1) \):
\[
3(-1) - 8 = -4(1) \\
-3 - 8 = -4 \\
-11 = -4 \quad \text{(False)}
\]

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

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