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 equation:
   \[
   5x - 7y = 0
   \]

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

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

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

Would you like further details or have any questions? 

Here are five related questions:

1. How would you find \( x \) in terms of \( y \) from the equation \( 5x - 7y = 0 \)?
2. If \( x = 14 \), what is the value of \( y \)?
3. Can you express \( y \) in terms of \( x \) if the equation was \( 3x + 2y = 0 \) instead?
4. What is the slope of the line represented by \( 5x - 7y = 0 \)?
5. How would you graph the equation \( 5x - 7y = 0 \) on a coordinate plane?

**Tip:** When rearranging equations to solve for a variable, ensure that you perform the same operation on both sides to maintain equality.

Learn how to find the value of y in terms of x from the linear equation 5x - 7y = 0 with a detailed step-by-step solution. This problem is perfect for students in Grades 7-9, covering key algebraic concepts such as solving linear equations.

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