Question
is this correct
3y+x=33
Step 1: Move x to the other side by subtracting it from both sides
3y=33-x
Step 2: Divide everything by 3 to isolate y
y=33-x/3
Step 3: Simplify the fraction by dividing each term in the numerator by 3
y=11-x/3
Final answer:
The solution y= 11-x/3 is the simplest form.
3y+x=33
Step 1: Move x to the other side by subtracting it from both sides
3y=33-x
Step 2: Divide everything by 3 to isolate y
y=33-x/3
Step 3: Simplify the fraction by dividing each term in the numerator by 3
y=11-x/3
Final answer:
The solution y= 11-x/3 is the simplest form.
Answers
GPT-4o mini
Let's examine your steps for solving the equation \(3y + x = 33\) more carefully.
Starting with the original equation:
\[ 3y + x = 33 \]
**Step 1:** You moved \(x\) to the other side correctly.
\[ 3y = 33 - x \]
**Step 2:** When you divide each term by 3 to isolate \(y\), you need to be careful with how you handle the right side. The correct expression should be:
\[ y = \frac{33 - x}{3} \]
**Step 3:** Now, you simplify the fraction. It's important to note that \(\frac{33 - x}{3}\) can indeed be separated into two terms:
\[ y = \frac{33}{3} - \frac{x}{3} \]
This simplifies to:
\[ y = 11 - \frac{x}{3} \]
So your final answer, when simplified appropriately, should be:
\[ y = 11 - \frac{x}{3} \]
Thus, the final answer \(y = 11 - \frac{x}{3}\) is correct. However, the intermediate step of \(y = 33 - x/3\) was not accurate because the division should be applied to the entire expression. Always ensure when you divide or simplify that you clearly maintain the relationship in the equation.
Starting with the original equation:
\[ 3y + x = 33 \]
**Step 1:** You moved \(x\) to the other side correctly.
\[ 3y = 33 - x \]
**Step 2:** When you divide each term by 3 to isolate \(y\), you need to be careful with how you handle the right side. The correct expression should be:
\[ y = \frac{33 - x}{3} \]
**Step 3:** Now, you simplify the fraction. It's important to note that \(\frac{33 - x}{3}\) can indeed be separated into two terms:
\[ y = \frac{33}{3} - \frac{x}{3} \]
This simplifies to:
\[ y = 11 - \frac{x}{3} \]
So your final answer, when simplified appropriately, should be:
\[ y = 11 - \frac{x}{3} \]
Thus, the final answer \(y = 11 - \frac{x}{3}\) is correct. However, the intermediate step of \(y = 33 - x/3\) was not accurate because the division should be applied to the entire expression. Always ensure when you divide or simplify that you clearly maintain the relationship in the equation.