Question

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

(2,0)
(2,0)

(3,4)
(3,4)

(11,12)
(11,12)

(-8,15)
(-8,15)

(-2,-5)

Answer 1

To determine which of the given coordinates are NOT solutions to the equation \( -3x + 2y = -6 \), we can substitute each point into the equation and check if the left side equals the right side.

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

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

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

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

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

The points that are NOT solutions to the equation \( -3x + 2y = -6 \) are:
- (3, 4)
- (11, 12)
- (-8, 15)
- (-2, -5)

So, the points that are NOT solutions are (3, 4), (11, 12), (-8, 15), and (-2, -5).