Question 320417
The quotient of a number and 6, minus 5/3, is the quotient of the number and 2.
 Find the number.
:
Let x = "a number"
:
{{{x/6}}} - {{{5/3}}} = {{{x/2}}}
multiply equation by by 6
6*{{{x/6}}} - 6*{{{5/3}}} = 6*{{{x/2}}}
Cancel the denominators, results
x - 2(5) = 3x
-10 = 3x - x
-10 = 2x
x = {{{(-10)/2}}}
x = -5
:
:
Check in original problem
{{{(-5)/6}}} - {{{5/3}}} = {{{(-5)/2}}}
{{{(-5)/6}}} - {{{10/6}}} = {{{(-15)/6}}}