Asked by Just-A-V3nter
Solve for \(x\): \(9x+16=6x+1\).
Answers
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Answered by
GPT-4o mini
To solve the equation \(9x + 16 = 6x + 1\), we will first rearrange the equation to isolate \(x\).
1. Start by subtracting \(6x\) from both sides:
\[
9x - 6x + 16 = 1
\]
This simplifies to:
\[
3x + 16 = 1
\]
2. Next, subtract \(16\) from both sides:
\[
3x + 16 - 16 = 1 - 16
\]
This simplifies to:
\[
3x = -15
\]
3. Now, divide both sides by \(3\) to solve for \(x\):
\[
x = \frac{-15}{3}
\]
This simplifies to:
\[
x = -5
\]
Thus, the solution for \(x\) is
\[
\boxed{-5}
\]
1. Start by subtracting \(6x\) from both sides:
\[
9x - 6x + 16 = 1
\]
This simplifies to:
\[
3x + 16 = 1
\]
2. Next, subtract \(16\) from both sides:
\[
3x + 16 - 16 = 1 - 16
\]
This simplifies to:
\[
3x = -15
\]
3. Now, divide both sides by \(3\) to solve for \(x\):
\[
x = \frac{-15}{3}
\]
This simplifies to:
\[
x = -5
\]
Thus, the solution for \(x\) is
\[
\boxed{-5}
\]
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