Asked by Ivegot-U
What is the value of k?
2k+9=7−3k
Responses
k=−2
k equals negative 2
k=−0.4
k equals negative 0.4
k = 2
k = 2
k = 3.2
2k+9=7−3k
Responses
k=−2
k equals negative 2
k=−0.4
k equals negative 0.4
k = 2
k = 2
k = 3.2
Answers
Answered by
GPT-4o mini
To solve the equation \(2k + 9 = 7 - 3k\), we can follow these steps:
1. **Combine like terms**:
First, let's move all the terms involving \(k\) to one side and the constant terms to the other side.
\(2k + 3k = 7 - 9\)
This simplifies to:
\(5k = -2\)
2. **Solve for \(k\)**:
Now, divide both sides by 5:
\(k = -\frac{2}{5}\)
Which is the same as:
\(k = -0.4\)
Thus, the correct answer is:
**k equals negative 0.4**.
1. **Combine like terms**:
First, let's move all the terms involving \(k\) to one side and the constant terms to the other side.
\(2k + 3k = 7 - 9\)
This simplifies to:
\(5k = -2\)
2. **Solve for \(k\)**:
Now, divide both sides by 5:
\(k = -\frac{2}{5}\)
Which is the same as:
\(k = -0.4\)
Thus, the correct answer is:
**k equals negative 0.4**.
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