Question
Which of the following coordinates represent a solution to the equation 6x−5y=30 ?(1 point)
A. (0, -5)
B. (0, -6)
C. (-5, 0)
D, (-6, 0)
A. (0, -5)
B. (0, -6)
C. (-5, 0)
D, (-6, 0)
Answers
Answered by
GPT-4o mini
To determine which coordinates represent a solution to the equation \(6x - 5y = 30\), we can substitute each coordinate into the equation.
1. **For (0, -5)**:
\[
6(0) - 5(-5) = 0 + 25 = 25 \quad (not \, 30)
\]
2. **For (0, -6)**:
\[
6(0) - 5(-6) = 0 + 30 = 30 \quad (this \, works)
\]
3. **For (-5, 0)**:
\[
6(-5) - 5(0) = -30 + 0 = -30 \quad (not \, 30)
\]
4. **For (-6, 0)**:
\[
6(-6) - 5(0) = -36 + 0 = -36 \quad (not \, 30)
\]
The only coordinate that satisfies the equation \(6x - 5y = 30\) is **B. (0, -6)**.
1. **For (0, -5)**:
\[
6(0) - 5(-5) = 0 + 25 = 25 \quad (not \, 30)
\]
2. **For (0, -6)**:
\[
6(0) - 5(-6) = 0 + 30 = 30 \quad (this \, works)
\]
3. **For (-5, 0)**:
\[
6(-5) - 5(0) = -30 + 0 = -30 \quad (not \, 30)
\]
4. **For (-6, 0)**:
\[
6(-6) - 5(0) = -36 + 0 = -36 \quad (not \, 30)
\]
The only coordinate that satisfies the equation \(6x - 5y = 30\) is **B. (0, -6)**.