Question

Which of the following coordinates are NOT solutions to the equation −3x+2y=−6 ?(1 point) Responses (2,0) (3,4) (11,12) (-8,15) or (-2,-5)

Answer 1

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

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

2. For the coordinate (3, 4):
\[
-3(3) + 2(4) = -6 \quad \Rightarrow \quad -9 + 8 = -1 \quad \text{(False)}
\]

3. For the coordinate (11, 12):
\[
-3(11) + 2(12) = -6 \quad \Rightarrow \quad -33 + 24 = -9 \quad \text{(False)}
\]

4. For the coordinate (-8, 15):
\[
-3(-8) + 2(15) = -6 \quad \Rightarrow \quad 24 + 30 = 54 \quad \text{(False)}
\]

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

From the evaluations above, the coordinates that are **NOT** solutions to the equation \(-3x + 2y = -6\) are:

- (3, 4)
- (11, 12)
- (-8, 15)
- (-2, -5)

Thus, the correct answers for coordinates that are not solutions are **(3, 4), (11, 12), (-8, 15), and (-2, -5).**