How do you solve #5/4=10/x#?

4 Answers
Jun 24, 2017

#x=8#

Explanation:

As #5/4=10/x#, we have

#5/4xx4=10/x xx4#

or #5/cancel4^1xxcancel4^1=40/x#

or #5xx x=40/x xx x#

or #5xx x=40/cancelx xx cancelx#

or #5x=40#

or #5x xx 1/5=40xx1/5#

or #cancel5x xx 1/cancel5=cancel40^8xx1/cancel5^1#

or #x=8#

Jun 25, 2017

#x=8#

Explanation:

A different approach is to cross multiply:

#5x=40#

#x=40/5#

#x=8#

Jun 25, 2017

Cross multiplying is the easiest.
#5*x =10*4#
#5x=40#
#x=40/5#
#x=8#

Jun 26, 2017

Simply by doing cross multiplication, we get #x=8#.

Explanation:

#5/4=10/x#

#5x=40#

#x=40/5#

#x=8#