Math Problem Statement

What is the value of x in the equation x/10 = 2?

Solution

The problem asks to find the value of xx in the equation:

x10=2\frac{x}{10} = 2

To solve for xx, multiply both sides of the equation by 10 to eliminate the denominator:

x=2×10=20x = 2 \times 10 = 20

Thus, the value of xx is 20\boxed{20}, which corresponds to option D.

Would you like further explanation or have any other questions?

Here are 5 related questions to expand on this concept:

  1. What would be the value of xx if the equation was x5=4\frac{x}{5} = 4?
  2. How do you solve for xx if the equation is x15=3\frac{x}{15} = 3?
  3. What is the general method for solving equations of the form xa=b\frac{x}{a} = b?
  4. Can you write an equation where dividing xx by 20 gives a result of 7?
  5. What is the inverse operation of division when solving equations?

Tip: When solving equations that involve division, multiplying by the denominator on both sides cancels the fraction and isolates the variable.

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Math Problem Analysis

Mathematical Concepts

Basic Algebra
Solving Linear Equations

Formulas

x = b × a, where b is the value on the other side of the equation and a is the denominator of the fraction.

Theorems

Multiplication is the inverse of division.

Suitable Grade Level

Grades 6-8