The equation provided is:

\[
2x \times 3 = 5y - 15
\]

Let's simplify and solve the equation:

1. **Multiply** the left side:
   \[
   6x = 5y - 15
   \]

2. **Isolate** \( y \) on one side by adding \( 15 \) to both sides:
   \[
   6x + 15 = 5y
   \]

3. **Divide** both sides by \( 5 \) to solve for \( y \):
   \[
   y = \frac{6x + 15}{5}
   \]

Thus, the equation for \( y \) in terms of \( x \) is:

\[
y = \frac{6x + 15}{5}
\]

Would you like further details or have any questions?

Here are 5 related questions for you to consider:

1. What happens if \( x = 0 \)? What is the value of \( y \)?
2. Can you express \( x \) in terms of \( y \)?
3. How would you graph the equation \( y = \frac{6x + 15}{5} \)?
4. What is the slope and y-intercept of the equation \( y = \frac{6x + 15}{5} \)?
5. How does the equation change if \( 15 \) on the right side is replaced with \( 10 \)?

**Tip:** Always check your work by substituting your solution back into the original equation to ensure accuracy.

The query submitted by the user: 2x × 3 = 5y − 15.

Explore the step-by-step process of solving the linear equation 2x × 3 = 5y − 15. This guide simplifies the equation, isolates variables, and explains each step clearly. Ideal for students in Grades 8-10, this solution covers essential algebraic concepts and problem-solving techniques.

Math Problem Statement

2 x 3

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