Question
the equation that is solved given the written directionssubtract & from both sides of the equationThen, multiply both sides of the equation by negative The final answer is point ) x/3 - 6 = 1; x/3 + 5 = 1; x/3 + 6 = 1; x/3 - 5 = 1
Answers
GPT-4o mini
Let's solve the equation step by step based on your directions. The initial equation given is:
\( \frac{x}{3} - 6 = 1 \)
### Step 1: Subtract & from both sides of the equation
It seems like there was a typo ("subtract &"). Assuming you meant subtracting a number from both sides, we can proceed with solving the equation directly.
### Step 2: Add 6 to both sides
Adding 6 to both sides gives:
\[
\frac{x}{3} - 6 + 6 = 1 + 6
\]
This simplifies to:
\[
\frac{x}{3} = 7
\]
### Step 3: Multiply both sides of the equation by negative 3
Assuming you want to multiply both sides by -3 to solve for \(x\):
\[
-3 \cdot \frac{x}{3} = -3 \cdot 7
\]
This simplifies to:
\[
-x = -21
\]
So, when we multiply both sides by -1 to solve for \(x\), we get:
\[
x = 21
\]
### Final Result
Therefore, the solution to the equation \( \frac{x}{3} - 6 = 1 \) is:
\[
\boxed{21}
\]
Since you mentioned multiple equations at the end ( \( \frac{x}{3} - 6 = 1; \frac{x}{3} + 5 = 1; \frac{x}{3} + 6 = 1; \frac{x}{3} - 5 = 1 \) ), if you need to solve one of those equations, please specify which one you wish to solve, and I can assist you with that!
\( \frac{x}{3} - 6 = 1 \)
### Step 1: Subtract & from both sides of the equation
It seems like there was a typo ("subtract &"). Assuming you meant subtracting a number from both sides, we can proceed with solving the equation directly.
### Step 2: Add 6 to both sides
Adding 6 to both sides gives:
\[
\frac{x}{3} - 6 + 6 = 1 + 6
\]
This simplifies to:
\[
\frac{x}{3} = 7
\]
### Step 3: Multiply both sides of the equation by negative 3
Assuming you want to multiply both sides by -3 to solve for \(x\):
\[
-3 \cdot \frac{x}{3} = -3 \cdot 7
\]
This simplifies to:
\[
-x = -21
\]
So, when we multiply both sides by -1 to solve for \(x\), we get:
\[
x = 21
\]
### Final Result
Therefore, the solution to the equation \( \frac{x}{3} - 6 = 1 \) is:
\[
\boxed{21}
\]
Since you mentioned multiple equations at the end ( \( \frac{x}{3} - 6 = 1; \frac{x}{3} + 5 = 1; \frac{x}{3} + 6 = 1; \frac{x}{3} - 5 = 1 \) ), if you need to solve one of those equations, please specify which one you wish to solve, and I can assist you with that!