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The problem presented is:

\[
\frac{1}{2}y - \frac{3}{5}x = -6
\]
You are asked to find the value of \(6x - 5y\).

### Step 1: Solve for one variable
We will first isolate one of the variables from the given equation. Let's solve for \(y\) in terms of \(x\).

Multiply the entire equation by 10 to eliminate the fractions:

\[
10 \times \left(\frac{1}{2}y - \frac{3}{5}x \right) = 10 \times (-6)
\]

This simplifies to:

\[
5y - 6x = -60
\]

### Step 2: Rearrange the equation
Now, solve for \(5y - 6x\):

\[
5y - 6x = 60
\]

Notice that this is exactly the negative of what we are looking for, as the problem asks for \(6x - 5y\

If (1/2)y - (3/5)x = -6, what is the value of 6x - 5y?

Learn how to solve for 6x - 5y from the linear equation (1/2)y - (3/5)x = -6. This solution involves eliminating fractions, isolating variables, and rearranging terms. Suitable for students in Grades 9-12.

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