Math Problem Statement
Solve for y: 9y - y = 16
Solution
The equation provided is:
To solve for :
-
Combine like terms on the left-hand side of the equation:
So, the equation simplifies to:
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To solve for , divide both sides of the equation by 8:
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Simplify the right-hand side:
So, the solution is .
Would you like more details on any part of this solution, or do you have any other questions?
Here are some related questions for further exploration:
- What would be the solution if the equation was ?
- How would the solution change if the equation was instead?
- What steps would you take if the equation had a constant on the left side, like ?
- Can you solve for if the equation was ?
- What happens if is a fraction, say ?
Tip: Always combine like terms first when solving linear equations to simplify the equation before solving for the variable.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Formulas
Combining like terms
Solving linear equations
Theorems
Basic arithmetic principles
Suitable Grade Level
Grades 6-8