We are given the equation:

\[
5 = \frac{100}{y(2 + 3)}
\]

Let's solve for \( y \).

### Step 1: Simplify the denominator
First, simplify the expression inside the parentheses:

\[
2 + 3 = 5
\]

Thus, the equation becomes:

\[
5 = \frac{100}{y \cdot 5}
\]

### Step 2: Isolate \( y \)
Now multiply both sides of the equation by \( y \cdot 5 \) to eliminate the fraction:

\[
5(y \cdot 5) = 100
\]

Simplify the left-hand side:

\[
25y = 100
\]

### Step 3: Solve for \( y \)
Divide both sides by 25:

\[
y = \frac{100}{25} = 4
\]

### Final Answer:
\[
y = 4
\]

Would you like further details or clarification?

Here are 5 related questions to expand on this:
1. How do you handle equations with multiple variables?
2. Can this process be applied to solve for other variables?
3. What happens if the equation contains fractions on both sides?
4. How does the solution change if the equation is quadratic?
5. How can you verify the solution of an equation?

**Tip:** Always double-check your solution by substituting the value of the variable back into the original equation.

Learn how to solve for y in the equation 5 = 100 / y(2+3) with a detailed step-by-step explanation. This problem demonstrates algebraic concepts like variable isolation and equation simplification, suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation