The problem asks us to evaluate the expression $2x + xy - 3y$ given $x = -2$ and $y = 5$.

Step-by-step Solution:

1. Substitute $x = -2$ and $y = 5$ into the expression: $2x + xy - 3y = 2(-2) + (-2)(5) - 3(5)$

2. Calculate each term:

   • $2(-2) = -4$
   • $(-2)(5) = -10$
   • $-3(5) = -15$

3. Add the terms: $-4 + (-10) + (-15) = -4 - 10 - 15 = -29$

Final Answer:

$\boxed{-29}$

Would you like a breakdown of any particular step or additional practice problems?

Related Questions:

1. How do you simplify expressions with two variables?
2. How do you handle negative numbers when performing arithmetic operations?
3. What happens if $x$ and $y$ are both negative in this problem?
4. Can you verify the answer by rewriting the expression differently?
5. What are common mistakes when substituting values into expressions?

Tip:

Always double-check the signs (positive/negative) when substituting variables into an expression to avoid errors!