Question

Which of the following coordinates are NOT solutions to the equation −3x+2y=−6 ?(1 point)

A. (2,0)
B. (3,4)
C. (11,12)
D. (-8,15)
E. (-2,-5)

Answer 1

To determine which of the provided coordinates are NOT solutions to the equation \(-3x + 2y = -6\), we will substitute each pair of \( (x, y) \) values into the equation and check if the equation holds true.

1. **For A. (2, 0)**:
\[
-3(2) + 2(0) = -6 + 0 = -6 \quad \text{(True)}
\]

2. **For B. (3, 4)**:
\[
-3(3) + 2(4) = -9 + 8 = -1 \quad \text{(False)}
\]

3. **For C. (11, 12)**:
\[
-3(11) + 2(12) = -33 + 24 = -9 \quad \text{(False)}
\]

4. **For D. (-8, 15)**:
\[
-3(-8) + 2(15) = 24 + 30 = 54 \quad \text{(False)}
\]

5. **For E. (-2, -5)**:
\[
-3(-2) + 2(-5) = 6 - 10 = -4 \quad \text{(False)}
\]

From the results:
- A. is a solution.
- B. is NOT a solution.
- C. is NOT a solution.
- D. is NOT a solution.
- E. is NOT a solution.

The coordinates that are NOT solutions to the equation \(-3x + 2y = -6\) are **B. (3, 4), C. (11, 12), D. (-8, 15), and E. (-2, -5)**.

Therefore, the correct answer is **B. (3, 4)**, and other incorrect options are C, D, and E.