If 5x - 7y = 0, find the value of y in terms of x.

To find the value of \( y \) in terms of \( x \) from the equation \( 5x - 7y = 0 \), follow these steps:

1. Start with the given equation:
   \[
   5x - 7y = 0
   \]

2. Add \( 7y \) to both sides of the equation to isolate the \( 5x \) term:
   \[
   5x = 7y
   \]

3. Now, divide both sides of the equation by 7 to solve for \( y \) in terms of \( x \):
   \[
   y = \frac{5x}{7}
   \]

Thus, the value of \( y \) in terms of \( x \) is:
\[
y = \frac{5x}{7}
\]

Would you like a detailed explanation or have any questions?

Here are some related questions you might find interesting:
1. What is the value of \( x \) if \( y = 3 \)?
2. How would you graph the equation \( y = \frac{5x}{7} \)?
3. What is the slope of the line represented by \( 5x - 7y = 0 \)?
4. If \( x = 7 \), what is the value of \( y \)?
5. Can you express \( x \) in terms of \( y \) from the equation \( 5x - 7y = 0 \)?
6. How does the equation change if both sides are multiplied by 2?
7. What would the equation be if the roles of \( x \) and \( y \) were reversed?
8. How does the solution change if the equation was \( 5x + 7y = 0 \) instead?

**Tip:** When solving linear equations, isolating the variable you need is key to finding a solution quickly and accurately.

Learn how to solve the linear equation 5x - 7y = 0 to find the value of y in terms of x. Follow a step-by-step explanation with examples. Suitable for students in Grades 7-9.

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