If *x*=52​*y* and *y*=10, what is the value of 4*x*+4?

We are given:

- \( x = 52y \)
- \( y = 10 \)

First, substitute \( y = 10 \) into the equation for \( x \):

\[
x = 52 \times 10 = 520
\]

Now, substitute \( x = 520 \) into the expression \( 4x + 4 \):

\[
4x + 4 = 4 \times 520 + 4 = 2080 + 4 = 2084
\]

Thus, the value of \( 4x + 4 \) is \( \boxed{2084} \).

Would you like more details or have any questions?

Here are 5 related questions to explore further:
1. What would happen if \( y \) were a different value?
2. How does changing the coefficient of \( y \) affect \( x \)?
3. What is the result of \( 4x + 4 \) when \( x = y \)?
4. How do expressions like \( 4x + 4 \) simplify when expressed in terms of \( y \)?
5. What is the general form of \( 4x + 4 \) if \( x = ay \), where \( a \) is a constant?

**Tip:** Substitution is a common technique in algebra used to simplify expressions and solve equations efficiently!

If x = 52y and y = 10, what is the value of 4x + 4?

Learn how to solve the algebraic expression 4x + 4 by substituting x = 52y and y = 10. This problem explores key algebra concepts like substitution and linear expressions, making it suitable for students in Grades 6-8.

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