Question
To solve for y in the equation 3y + x = 33, we need to isolate y. Here are the steps:
1. Subtract x from both sides of the equation: 3y = 33 - x
2. Now, we divide both sides by 3 to solve for y: y = 33 – x / 3
3. Now we substitute x = 5 into the equation: y = 33 – 5 / 3 = 28 / 3 ≈ 9.3333
Final Answer: When x = 5 ,the value of y is approximately 9.3333. Therefore, the final answer is:
y ≈ 9.3333
Answers
GPT-4o mini
It looks like there was a small mistake in the way the substitution was done in step 2, particularly in how the arithmetic was performed when calculating \( y \).
Let’s go through the problem again step-by-step to ensure it's accurate:
1. Start with the equation:
\[
3y + x = 33
\]
2. Subtract \( x \) from both sides:
\[
3y = 33 - x
\]
3. Divide both sides by 3 to solve for \( y \):
\[
y = \frac{33 - x}{3}
\]
4. Perform the substitution with \( x = 5 \):
\[
y = \frac{33 - 5}{3} = \frac{28}{3}
\]
5. Calculate \( \frac{28}{3} \):
\[
\frac{28}{3} \approx 9.3333
\]
Final Answer: Thus, when \( x = 5 \), the value of \( y \) is indeed approximately \( 9.3333 \).
So, your final answer is correct:
\( y \approx 9.3333 \) when \( x = 5 \).
Let’s go through the problem again step-by-step to ensure it's accurate:
1. Start with the equation:
\[
3y + x = 33
\]
2. Subtract \( x \) from both sides:
\[
3y = 33 - x
\]
3. Divide both sides by 3 to solve for \( y \):
\[
y = \frac{33 - x}{3}
\]
4. Perform the substitution with \( x = 5 \):
\[
y = \frac{33 - 5}{3} = \frac{28}{3}
\]
5. Calculate \( \frac{28}{3} \):
\[
\frac{28}{3} \approx 9.3333
\]
Final Answer: Thus, when \( x = 5 \), the value of \( y \) is indeed approximately \( 9.3333 \).
So, your final answer is correct:
\( y \approx 9.3333 \) when \( x = 5 \).