Question

Solve each equation. Leave your answer as a fraction if it is not an integer value. $\frac{7}{15} x+\frac{3}{5}=\frac{1}{3} x+\frac{5}{3}$

Name: Problem 101, Chapter 2: Intermediate Algebra for College Students
Uploaded: 2020-05-16T19:24:53-08:00
Duration: 1 min 6 s
Channel: Jake Zanazzi
Description: Solve each equation. Leave your answer as a fraction if it is not an integer value. (7)/(15) x+(3)/(5)=(1)/(3) x+(5)/(3)

   Solve each equation. Leave your answer as a fraction if it is not an integer value. $\frac{7}{15} x+\frac{3}{5}=\frac{1}{3} x+\frac{5}{3}$

Intermediate Algebra for College Students

Allen R. Angel;… 10th Edition

Chapter 2, Problem 101

Instant Answer

Solved by Expert Jake Zanazzi

05/16/2020

Step 1

In this case, the common denominator is 15. Show more…

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Solve each equation. Leave your answer as a fraction if it is not an integer value. $\frac{7}{15} x+\frac{3}{5}=\frac{1}{3} x+\frac{5}{3}$

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Key Concepts

Linear Equations

Linear equations are algebraic expressions where the highest power of the variable is one. They are solved by isolating the variable using inverse operations, which involves moving terms across the equality sign and simplifying the resulting expression.

Operations with Fractions

Solving equations with fractions requires the manipulation of rational numbers. This includes finding common denominators for addition and subtraction, as well as multiplying or dividing by fractions to clear fractional coefficients.

Algebraic Manipulation

Algebraic manipulation involves systematically applying properties such as the distributive, associative, and commutative properties to combine like terms, remove parentheses, and ultimately isolate the variable. These techniques are essential for solving equations, especially when fractions are involved.

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