If x/10 - 9 = 2, then x = ?
Understand the Problem
The question is asking us to solve the equation (x/10) - 9 = 2 for the variable x. This involves isolating x on one side of the equation and performing arithmetic operations to find its value.
Answer
The value of \(x\) is \(110\).
Answer for screen readers
The value of (x) is (110).
Steps to Solve
- Add 9 to both sides of the equation
To isolate the term with (x), add 9 to both sides:
$$ \frac{x}{10} - 9 + 9 = 2 + 9 $$
This simplifies to:
$$ \frac{x}{10} = 11 $$
- Multiply both sides by 10
To eliminate the fraction, multiply both sides of the equation by 10:
$$ 10 \cdot \frac{x}{10} = 11 \cdot 10 $$
This simplifies to:
$$ x = 110 $$
The value of (x) is (110).
More Information
The equation represents a simple linear equation. Solving it involves basic operations such as addition and multiplication. This is a fundamental skill that is useful in algebra and various real-life applications.
Tips
- Forgetting to perform the same operation on both sides of the equation.
- Miscalculating when multiplying or adding numbers, particularly with negative numbers.
- Not isolating the variable correctly before performing operations.
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