Question

determine which of the following ordered pairs is a solution 3x - 8 = -4y

a. (-1,1)
b. (0, -2)
c. (1,1)
d. (0,2)

Answer 1

To determine which of the ordered pairs is a solution to the equation \( 3x - 8 = -4y \), we can substitute each pair into the equation and check if the left side equals the right side.

1. **For pair \( (-1, 1) \):**
\[
x = -1, \; y = 1
\]
Substitute into the equation:
\[
3(-1) - 8 = -4(1) \\
-3 - 8 = -4 \\
-11 \neq -4 \quad \text{(Not a solution)}
\]

2. **For pair \( (0, -2) \):**
\[
x = 0, \; y = -2
\]
Substitute into the equation:
\[
3(0) - 8 = -4(-2) \\
-8 = 8 \quad \text{(Not a solution)}
\]

3. **For pair \( (1, 1) \):**
\[
x = 1, \; y = 1
\]
Substitute into the equation:
\[
3(1) - 8 = -4(1) \\
3 - 8 = -4 \\
-5 \neq -4 \quad \text{(Not a solution)}
\]

4. **For pair \( (0, 2) \):**
\[
x = 0, \; y = 2
\]
Substitute into the equation:
\[
3(0) - 8 = -4(2) \\
-8 = -8 \quad \text{(This is a solution)}
\]

After testing all the options, the only ordered pair that is a solution to the equation \( 3x - 8 = -4y \) is:

**d. \( (0, 2) \)**