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Let's solve the expressions given the values \( x = 6 \) and \( y = 8 \).

### a) \( 4x + y \)
Substitute \( x = 6 \) and \( y = 8 \) into the expression:

\[
4x + y = 4(6) + 8 = 24 + 8 = 32
\]

### b) \( -7y + 10 - 2x \)
Substitute \( x = 6 \) and \( y = 8 \) into the expression:

\[
-7y + 10 - 2x = -7(8) + 10 - 2(6) = -56 + 10 - 12 = -58
\]

### c) \( 10 + y - x \)
Substitute \( x = 6 \) and \( y = 8 \) into the expression:

\[
10 + y - x = 10 + 8 - 6 = 12
\]

### Final Answers:
- a) \( 32 \)
- b) \( -58 \)
- c) \( 12 \)

Do you want more details or have any questions?  
Here are 5 related questions to think about:

1. What happens to the results if \( y \) is negative instead of positive?
2. How do you evaluate expressions involving exponents when substituting variables?
3. What is the impact of parentheses on expressions when substituting values?
4. How do you solve expressions with more than two variables?
5. Can you graph these expressions with respect to \( x \) and \( y \)?

**Tip:** Always follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction) when solving expressions!

Evaluate when x = 6 and y = 8. Show your work! a) 4x + y b) -7y + 10 - 2x c) 10 + y - x

Learn how to evaluate algebraic expressions using substitution when x = 6 and y = 8. This solution covers expressions like 4x + y, -7y + 10 - 2x, and 10 + y - x, with step-by-step explanations. Suitable for students in Grades 6-8.

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