Question #0ac33

1 Answer
Feb 23, 2017

#color(blue)("Making "y" the dependant variable")#

Divide both sides by 4

#4/4y=1.4/4x-1/4#

But #4/4=1#

#y=1.4/4x-1/4#

But #1.4/4# is the same as #(1.4xx10)/(4xx10) = 14/40 =(14-:2)/(40-:2)=7/20#

#color(green)(y=7/20x=1/4)#
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
#color(blue)("Making "x" the dependant variable") #

I am a bit fed up with the decimal so lets get rid of it.
Multiply everything by 10

#40y=14x-10#

Add 10 to both sides

#40y+10=14x-10+10#

But -10+10=0

#40y+10=14x#

Divide both sides (everything) by 14

#40/14y+10/14=14/14xx x#

#20/7y+5/7=x#

Write as:

#color(green)(x=20/7y+5/7)#
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Substitute any known value into these and you have you answer, However, no known values provided in the question.