Math Problem Statement
Solve the equation y/54 = 2/9 and find the value of y.
Solution
The equation in the image is:
To solve for , we can use cross-multiplication. Cross-multiplying the fractions gives:
This simplifies to:
Now, divide both sides by 9:
Thus, .
Would you like any further details or clarification on this? Here are 5 related questions:
- What are the steps to cross-multiply two fractions?
- Can you solve a similar equation, such as ?
- How do you verify your solution once you've found ?
- How does cross-multiplication work when there are variables in both numerators?
- Can this method be used to solve proportion problems in real-life situations?
Tip: Always simplify fractions before solving equations—it can make calculations easier and more accurate.
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Math Problem Analysis
Mathematical Concepts
Proportions
Cross Multiplication
Simplification
Formulas
Cross-multiplication: a/b = c/d implies ad = bc
Theorems
Basic Properties of Proportions
Suitable Grade Level
Grades 6-8