Question

Solve each equation. Check your solution. $$-6=\frac{3}{5} a$$

   Solve each equation. Check your solution.
$$-6=\frac{3}{5} a$$

Prealgebra

Carol E. Malloy,… 1st Edition

Chapter 5, Problem 31

Instant Answer

Solved by Expert Kayleah Tsai

05/25/2020

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Step 1: We start with the equation $$-6=\frac{3}{5} a$$ We want to isolate $a$ on one side of the equation. Show more…

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Solve each equation. Check your solution. $$-6=\frac{3}{5} a$$

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Key Concepts

Linear Equations

A linear equation is an algebraic equation in which each term is either a constant or the product of a constant and a single variable. These equations form straight lines when graphed and are solved by isolating the variable on one side of the equation, which is a foundational concept in algebra.

Isolating the Variable

Isolating the variable involves performing operations that remove any coefficients or constants attached to the variable, thereby expressing the variable explicitly. This is achieved through inverse operations such as multiplication, division, addition, or subtraction while maintaining the balance of the equation.

Multiplication Property of Equality

The multiplication property of equality states that if both sides of an equation are multiplied by the same nonzero number, the equality of the equation is maintained. This principle is essential for removing fractions or coefficients from the side of the variable in linear equations.

Checking Solutions

Checking the solution involves substituting the found value back into the original equation to verify that it satisfies the equation. This validation step confirms that no mistakes were made during the manipulation process and ensures the solution is correct.

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