Math Problem Statement
Solution
The equation given in the image is:
To solve for , follow these steps:
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Combine like terms: Move the constants to the other side of the equation:
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To combine the constants on the right-hand side, convert 5 into a fraction with a denominator of 11: Now subtract the fractions: So,
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Solve for by dividing both sides by 12:
So, the solution is:
Would you like more details on this solution or have any other questions?
Here are some follow-up questions to deepen your understanding:
- How can you verify the solution by substituting it back into the original equation?
- What steps would you take if the equation had a variable in the denominator?
- How would you solve the equation if there was an additional term with on the right side?
- Can you think of a different approach to solve the equation, such as using decimal approximations?
- How would the solution process change if the equation included square roots or higher powers of ?
Tip: When solving equations with fractions, it's often helpful to find a common denominator early on to simplify your calculations.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Fraction Operations
Formulas
Operations with fractions
Solving linear equations ax + b = c
Theorems
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Suitable Grade Level
Grades 6-8
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