How do you use cross products to solve #6/9.6=9/d#?

Question

1986 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-07-22T12:38:48

#d=14.4#

#6/9.6=9/d#

#6d=9*9.6#
[bring up the denominator to opposite side]

[you are actually multiplying both side with the product of the denominators to cancel them off]

#d=86.4/6#

#d=14.4#

Answer 2 · 2017-07-22T12:40:40

See a solution process below:

Cross Products or Cross Multiply means to do the following:

enter image source here

Substituting for this problem gives:

#6/9.6 = 9/d#

#6 xx d = 9.6 xx 9#

#6d = 86.4#

Now, we can divide each side of the equation by #color(red)(6)# to solve for #d# while keeping the equation balanced:

#(6d)/color(red)(6) = 86.4/color(red)(6)#

#(color(red)(cancel(color(black)(6)))d)/cancel(color(red)(6)) = 14.4#

#d = 14.4#