/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 27 Solve each equation for the give... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

Solve each equation for the given variable. $$ \frac{c}{E}-\frac{1}{m c}=0 ; E $$

Short Answer

Expert verified
Therefore, the solution to the equation is \(E = m\)

Step by step solution

01

Restate the equation

We start with the original equation \(\frac{c}{E} - \frac{1}{m c} = 0\).
02

Combine fractions with same denominator

Next, re-write the equation in the form \(\frac{1}{E} - \frac{1}{m} = 0\) by dividing each side of the equation by 'c'.
03

Remove fractions

To get rid of the fractions, multiply every term in the equation by 'Em', it becomes \(m - E = 0\).
04

Isolate variable E

To isolate 'E', we can simply rearrange the equation like so: \(E = m\). This is the solution to the equation for 'E'.

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