Question

Solve the equation. $$\frac{3}{5}(x-5)=6$$

   Solve the equation.
$$\frac{3}{5}(x-5)=6$$

Algebra 1: Concepts and Skills

Algebra 1: Concepts and Skills

Ron Larson, Laurie… 1st Edition

Chapter 6, Problem 70

Instant Answer

Solved by Expert Ali Soave

04/21/2020

Step 1

Step 1: First, distribute the 3/5 to each term inside the parentheses: $$\frac{3}{5}(x-5)=\frac{3}{5}x-\frac{15}{5}$$ This simplifies to: $$\frac{3}{5}x-3=6$$ Show more…

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Solve the equation. $$\frac{3}{5}(x-5)=6$$

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Key Concepts

Clearing Fractions

Clearing fractions involves eliminating fractional expressions from an equation by multiplying both sides by the least common denominator. This process simplifies the equation, making subsequent steps of solving for the variable more straightforward.

Properties of Equality

The properties of equality, including both sides' balance and the operations of addition, subtraction, multiplication, and division, allow for maintaining the truth of an equation while isolating the unknown variable. These principles ensure that the manipulation of the equation does not alter its solution.

Linear Equations

Linear equations are algebraic expressions in which the variable is raised only to the first power. These equations can be graphically represented as straight lines and solved by isolating the variable on one side.

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