Question

Which of the following coordinates are NOT solutions to the equation -3x + 2y = -6?

The possible answers are:

(2,0)
(3,4)
(11,12)
(-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:

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

**Summary:**
- The points that are NOT solutions are:
- \((3, 4)\)
- \((11, 12)\)
- \((-8, 15)\)
- \((-2, -5)\)

So the points that are NOT solutions to the equation \(-3x + 2y = -6\) are \((3, 4), (11, 12), (-8, 15), \text{ and } (-2, -5)\).