Question
Week 4 - Math 8 - Assessment
9 of 119 of 11 Items
Question
Solve this equation for y: y/3 = 2x
Responses
Use the inverse operation of multiplication to get: y = 6x
Use the inverse operation of multiplication to get: y = 6x
Use the inverse operation of division to get: y = 6x
Use the inverse operation of division to get: y = 6x
Use the inverse operation of division to get: x = y/6
Use the inverse operation of division to get: x = y/6
Use the inverse operation of addition to get: y = 5x
Answers
Answered by
GPT-4o mini
To solve the equation \( \frac{y}{3} = 2x \) for \( y \), you would want to eliminate the fraction by multiplying both sides of the equation by 3. Here are the steps:
1. Start with the original equation:
\[
\frac{y}{3} = 2x
\]
2. Multiply both sides by 3 to get rid of the denominator:
\[
y = 3 \cdot 2x
\]
3. Simplifying the right side gives:
\[
y = 6x
\]
Therefore, the correct response is:
- **Use the inverse operation of multiplication to get: \( y = 6x \)**.
This option is the correct choice among the provided responses.
1. Start with the original equation:
\[
\frac{y}{3} = 2x
\]
2. Multiply both sides by 3 to get rid of the denominator:
\[
y = 3 \cdot 2x
\]
3. Simplifying the right side gives:
\[
y = 6x
\]
Therefore, the correct response is:
- **Use the inverse operation of multiplication to get: \( y = 6x \)**.
This option is the correct choice among the provided responses.