https://file.aiquickdraw.com/mathbot/file/17268381448007mhytzny.jpg

The equation in the image is:

\[
3y = 13
\]

To isolate \( y \), you need to perform the same operation on both sides of the equation. In this case, the operation is division, because \( y \) is being multiplied by 3. To isolate \( y \), divide both sides of the equation by 3:

\[
y = \frac{13}{3}
\]

Thus, the exact solution is:

\[
y = \frac{13}{3} \quad \text{or approximately } y = 4.33
\]

Would you like further details or have any questions about this?

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Here are 5 related questions:
1. What would you do if the equation was \( 4y = 16 \)?
2. How do you solve an equation if there are fractions involved, like \( \frac{3}{4}y = 9 \)?
3. Can you solve the equation \( 2y + 5 = 13 \) and isolate \( y \)?
4. How would you solve \( 6y = 12 \) and check if the result is correct?
5. What happens if you multiply both sides of \( y = \frac{13}{3} \) by 3 again?

**Tip**: Always perform the same operation on both sides of an equation to maintain balance and solve it correctly!

What operation on both sides of the equation isolates the variable on one side? Give the solution of the equation: 3y = 13

Learn how to isolate the variable and solve the linear equation 3y = 13. This problem demonstrates the principles of balancing both sides of an equation using division. Suitable for students in Grades 6-8.

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