Question #89fa4

1 Answer
Oct 1, 2016

Answer:

Get rid of the fractions! Then solve.
#x = -8 6/9 = -8 2/3#

Explanation:

If you have an equation which has ONE fraction on each side of the = sign, then you can get rid of the fractions by cross-multiplying.

# color(red)((7x -1))/color(blue)(5) = color(blue)((3(5+2x))/color(red)(3)#

You can multiply with either red or blue first. I have chosen to multiply the blue first, you will see why in the working. *

#color(blue)(5xx3(5+2x)) = color(red)(3(7x-1))" "larr# no fractions !

#75 +30x = 21x-3" "larr# bigger x on the left was predictable*

#30x-21x = -3-75#

#9x = -78#

#x = -78/9#

#x = -8 6/9 = -8 2/3#