Math Problem Statement

13/3 = 26/y

Solution

To solve the equation 133=26y\frac{13}{3} = \frac{26}{y}, we can use cross-multiplication. Here's how:

13y=3×2613y = 3 \times 26

Simplifying:

13y=7813y = 78

Now, divide both sides by 13 to isolate yy:

y=7813y = \frac{78}{13}

y=6y = 6

Thus, y=6y = 6.

Would you like further details or explanations on any step?

Here are 5 related questions to expand your understanding:

  1. How would you solve ab=cd\frac{a}{b} = \frac{c}{d}?
  2. What is the process of cross-multiplication, and when can it be used?
  3. Can you apply the same method to 5x=152\frac{5}{x} = \frac{15}{2}?
  4. What happens when one of the terms in a ratio is negative?
  5. How do you verify your solution for yy in the equation?

Tip: Always check your solution by substituting it back into the original equation to ensure both sides are equal.

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Math Problem Analysis

Mathematical Concepts

Algebra
Proportions
Cross Multiplication

Formulas

Cross-multiplication: a/b = c/d implies ad = bc

Theorems

Proportionality Theorem

Suitable Grade Level

Grades 6-8