Math Problem Statement
2x-3 4x-2 6x-2 ------ + -------- - 2 = -------- 9 7 4
Solution
Let's solve the equation:
Step 1: Clear the fractions
To eliminate the fractions, find the least common multiple (LCM) of the denominators: 9, 7, and 4. The LCM of 9, 7, and 4 is 252. Multiply every term by 252 to clear the fractions:
Step 2: Simplify each term
Step 3: Distribute and simplify
Combine like terms on the left side:
Step 4: Isolate
Move all terms involving to one side of the equation and constant terms to the other side:
Step 5: Solve for
Simplify the fraction:
The solution is .
Would you like a detailed explanation of any steps, or do you have any questions?
Relative Questions:
- How do you find the least common multiple (LCM) of several numbers?
- What are the steps to isolate a variable in an algebraic equation?
- How do you handle equations with fractions?
- What is the process for distributing and combining like terms?
- How do you simplify fractions to their lowest terms?
Tip:
When working with equations that involve fractions, multiplying through by the least common multiple of the denominators can simplify the process significantly.
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Math Problem Analysis
Mathematical Concepts
Equations
Fractions
Algebra
Formulas
Least Common Multiple (LCM)
Theorems
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Suitable Grade Level
Grades 9-12
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