How do you solve 6/(11v)+6/v=1?

1 Answer
Feb 16, 2016

v=72/11 -> 6 6/11

Explanation:

Given:" "6/(11v)+6/v=1

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Write as:" " 1/v(6/11+66/11)=1

1/v (72/11)=1/1" "

color(brown)("note that "1/1" is another way of writing 1 . I did this so ")
color(brown)("that you did not have any mental blocks about inverting 1")

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
color(blue)("Turn everything upside down!")

v(11/72)=1

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color(blue)("To get rid of "11/72" on the left hand side multiply "underline("both sides")" by "color(magenta)(72/11))

color(brown)("To get rid of something in 'multiply or divide' turn it into 1")

vxx11/72color(magenta)(xx72/11)=1color(magenta)(xx72/11)

vxx11/11 xx 72/72=72/11

color(brown)("But "11/11" and "72/72" both equal to 1")

vxx1xx1=72/11

v=72/11 -> 6 6/11