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)
Responses
(0,-5)
(0,-5)
(0,-6)
(0,-6)
(-5,0)
(-5,0)
(-6,0)
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To determine which of the given coordinates represents a solution to the equation \(6x - 5y = 30\), we can substitute each pair of coordinates into the equation and see if it holds true.
1. For \((0, -5)\):
\[
6(0) - 5(-5) = 0 + 25 = 25 \quad \text{(not a solution)}
\]
2. For \((0, -6)\):
\[
6(0) - 5(-6) = 0 + 30 = 30 \quad \text{(is a solution)}
\]
3. For \((-5, 0)\):
\[
6(-5) - 5(0) = -30 - 0 = -30 \quad \text{(not a solution)}
\]
4. For \((-6, 0)\):
\[
6(-6) - 5(0) = -36 - 0 = -36 \quad \text{(not a solution)}
\]
The only coordinate that satisfies the equation \(6x - 5y = 30\) is \((0, -6)\).
1. For \((0, -5)\):
\[
6(0) - 5(-5) = 0 + 25 = 25 \quad \text{(not a solution)}
\]
2. For \((0, -6)\):
\[
6(0) - 5(-6) = 0 + 30 = 30 \quad \text{(is a solution)}
\]
3. For \((-5, 0)\):
\[
6(-5) - 5(0) = -30 - 0 = -30 \quad \text{(not a solution)}
\]
4. For \((-6, 0)\):
\[
6(-6) - 5(0) = -36 - 0 = -36 \quad \text{(not a solution)}
\]
The only coordinate that satisfies the equation \(6x - 5y = 30\) is \((0, -6)\).
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