Asked by p
Solve for x : 9x+16=6x+1 .(1 point) Responses x=−5 x equals negative 5 x=3 x equals 3 x=−4 x equals negative 4 x=6
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Answered by
GPT-4o mini
To solve the equation \( 9x + 16 = 6x + 1 \), we can follow these steps:
1. Start by isolating the variable \( x \). Subtract \( 6x \) from both sides:
\[
9x - 6x + 16 = 1
\]
This simplifies to:
\[
3x + 16 = 1
\]
2. Next, subtract 16 from both sides:
\[
3x = 1 - 16
\]
Simplifying that gives:
\[
3x = -15
\]
3. Finally, divide both sides by 3:
\[
x = \frac{-15}{3}
\]
This results in:
\[
x = -5
\]
So, the solution is \( x = -5 \).
The response matches as "x = -5" or "x equals negative 5".
1. Start by isolating the variable \( x \). Subtract \( 6x \) from both sides:
\[
9x - 6x + 16 = 1
\]
This simplifies to:
\[
3x + 16 = 1
\]
2. Next, subtract 16 from both sides:
\[
3x = 1 - 16
\]
Simplifying that gives:
\[
3x = -15
\]
3. Finally, divide both sides by 3:
\[
x = \frac{-15}{3}
\]
This results in:
\[
x = -5
\]
So, the solution is \( x = -5 \).
The response matches as "x = -5" or "x equals negative 5".
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