Question

Solve for the indicated variable. $$ \frac{1}{5} n=3 $$

   Solve for the indicated variable.
$$
\frac{1}{5} n=3
$$

Algebra and Trigonometry

Algebra and Trigonometry

Cynthia Y. Young 4th Edition

Chapter 1, Problem 7

Instant Answer

Solved by Expert Courtney Solomon

06/13/2021

Step 1

$$ 5 \cdot \frac{1}{5} n = 5 \cdot 3 $$ Show more…

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Solve for the indicated variable. $$ \frac{1}{5} n=3 $$

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Key Concepts

Linear Equations

A linear equation is an equation that involves variables raised only to the first power and no products of variables. The goal in solving a linear equation is to isolate the variable to determine its value, and the methods used are systematic and straightforward.

Isolating the Variable

Isolating the variable involves performing algebraic operations to get the variable alone on one side of the equation. This process often requires using inverse operations to undo the arithmetic operations applied to the variable.

Multiplicative Inverse

The multiplicative inverse, or reciprocal, of a number is the value that when multiplied by the original number yields one. In solving equations where the variable is multiplied by a coefficient, multiplying both sides by the reciprocal of that coefficient effectively isolates the variable.

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