Question

Which of the following coordinates represent a solution to the equation 6x−5y=30
?(1 point)
Responses

(0,-5)
(0,-5)
(0,-6)
(0,-6)
(-5,0)
(-5,0)
(-6,0)

Answer 1

To determine which coordinates represent a solution to the equation \(6x - 5y = 30\), we can plug in each pair of coordinates into the equation and see if they satisfy it.

1. **For (0, -5)**:
\[
6(0) - 5(-5) = 0 + 25 = 25 \quad (\text{not } 30)
\]

2. **For (0, -6)**:
\[
6(0) - 5(-6) = 0 + 30 = 30 \quad (\text{solution})
\]

3. **For (-5, 0)**:
\[
6(-5) - 5(0) = -30 - 0 = -30 \quad (\text{not } 30)
\]

4. **For (-6, 0)**:
\[
6(-6) - 5(0) = -36 - 0 = -36 \quad (\text{not } 30)
\]

From the calculations, the coordinate that represents a solution to the equation \(6x - 5y = 30\) is \((0, -6)\).