Question

Solve each equation. $$ \frac{x}{2}-\frac{x}{3}=4 $$

   Solve each equation.

$$
\frac{x}{2}-\frac{x}{3}=4
$$

Elementary and Intermediate Algebra

Elementary and Intermediate Algebra

Alan S. Tussy, R.… 5th Edition

Chapter 8, Problem 25

Instant Answer

Solved by Expert Catheryn Taylor

05/03/2020

Step 1

This gives us: $$ 6 \cdot \frac{x}{2} - 6 \cdot \frac{x}{3} = 6 \cdot 4 $$ Show more…

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Solve each equation. $$ \frac{x}{2}-\frac{x}{3}=4 $$

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Key Concepts

Finding Common Denominators

When dealing with fractions, it is often necessary to find a common denominator to combine or subtract fractions. This technique involves identifying the least common multiple of the denominators, which allows the fractions to be rewritten with a shared denominator, enabling the consolidation of terms and simplifying the equation.

Clearing Fractions

Clearing fractions is a method used to eliminate fractional expressions from an equation by multiplying every term by the least common denominator (LCD). This process transforms the equation into one with integer coefficients, simplifying the process of combining like terms and isolating the variable.

Solving Linear Equations

This concept involves finding the value of the variable that makes the equation true. In linear equations, the variable appears to the first power, and typical methods include combining like terms and using inverse operations, such as addition, subtraction, multiplication, and division, to isolate the variable.

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