Question

Solve each equation. $$\frac{x+3}{5}+\frac{x}{3}=7$$

   Solve each equation.
$$\frac{x+3}{5}+\frac{x}{3}=7$$

Precalculus

John W. Coburn 2nd Edition

Chapter 1, Problem 19

Instant Answer

Solved by Expert Jake Zanazzi

05/16/2020

Step 1

This will eliminate the denominators. The equation becomes: \[15 \cdot \frac{x+3}{5} + 15 \cdot \frac{x}{3} = 15 \cdot 7\] Show more…

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Solve each equation. $$\frac{x+3}{5}+\frac{x}{3}=7$$

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Key Concepts

Linear Equations

A linear equation is an equation that makes a straight line when graphed. It involves variables raised only to the first power, making its solution process straightforward through operations such as addition, subtraction, multiplication, and division.

Clearing Fractions

Clearing fractions is a method used to simplify equations that include fractions. By multiplying each term of the equation by the least common denominator, the equation is transformed into one with integer coefficients, making it easier to solve.

Common Denominator

The common denominator is the smallest number that is a multiple of all denominators in a set of fractions. Finding the common denominator allows the fractions to be combined or manipulated easily, which is particularly useful when solving equations that involve fractional expressions.

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