Question
Which of the following ordered pairs is part of the solution set for the equation y =2.5x -2? A. (2,5) B. (-2,0) C. (2,3)
Answers
GPT-4o mini
To determine which ordered pair is part of the solution set for the equation \( y = 2.5x - 2 \), we can substitute the \( x \) values from each ordered pair into the equation and see if we obtain the corresponding \( y \) values.
1. **For \( A. (2, 5) \)**:
- Substitute \( x = 2 \):
\[
y = 2.5(2) - 2 = 5 - 2 = 3
\]
- The ordered pair (2, 5) is not a solution because the calculated \( y \) value is 3, not 5.
2. **For \( B. (-2, 0) \)**:
- Substitute \( x = -2 \):
\[
y = 2.5(-2) - 2 = -5 - 2 = -7
\]
- The ordered pair (-2, 0) is not a solution because the calculated \( y \) value is -7, not 0.
3. **For \( C. (2, 3) \)**:
- Substitute \( x = 2 \):
\[
y = 2.5(2) - 2 = 5 - 2 = 3
\]
- The ordered pair (2, 3) is a solution because the calculated \( y \) value is 3, which matches the given \( y \) value.
Based on the calculations, the ordered pair that is part of the solution set for the equation \( y = 2.5x - 2 \) is **C. (2, 3)**.
1. **For \( A. (2, 5) \)**:
- Substitute \( x = 2 \):
\[
y = 2.5(2) - 2 = 5 - 2 = 3
\]
- The ordered pair (2, 5) is not a solution because the calculated \( y \) value is 3, not 5.
2. **For \( B. (-2, 0) \)**:
- Substitute \( x = -2 \):
\[
y = 2.5(-2) - 2 = -5 - 2 = -7
\]
- The ordered pair (-2, 0) is not a solution because the calculated \( y \) value is -7, not 0.
3. **For \( C. (2, 3) \)**:
- Substitute \( x = 2 \):
\[
y = 2.5(2) - 2 = 5 - 2 = 3
\]
- The ordered pair (2, 3) is a solution because the calculated \( y \) value is 3, which matches the given \( y \) value.
Based on the calculations, the ordered pair that is part of the solution set for the equation \( y = 2.5x - 2 \) is **C. (2, 3)**.