https://file.aiquickdraw.com/mathbot/file/1726621723106jdwu5qjd.jpg

The equation in the image is:

\[
\frac{5}{9}x - \frac{2}{3}y + xy
\]

with the given values:
\[
x = \frac{3}{5}, \quad y = -\frac{1}{2}.
\]

Let's substitute the values of \(x\) and \(y\) into the equation and simplify it. I'll calculate that for you.After substituting \( x = \frac{3}{5} \) and \( y = -\frac{1}{2} \) into the equation, the result simplifies to:

\[
\frac{11}{30}
\]

Would you like more details on the steps involved or have any other questions?

Here are five related questions to expand on this concept:
1. How do you add and subtract fractions with different denominators?
2. How do you calculate the product of two fractions?
3. How do you simplify an algebraic expression with multiple variables?
4. What are the common mistakes when dealing with negative fractions in equations?
5. How do you verify if the simplified fraction is in its lowest terms?

**Tip**: When dealing with equations involving fractions, it's helpful to rewrite them with a common denominator before performing arithmetic operations.

If x = 3/5 and y = -1/2, evaluate the expression (5/9)x - (2/3)y + xy.

Learn how to evaluate the algebraic expression (5/9)x - (2/3)y + xy, where x = 3/5 and y = -1/2. This step-by-step solution covers substitution, working with fractions, and simplifying the final result. Suitable for Grades 6-8.

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