Question

how do i get from 1/x+1/y=1/z to x=yz over y-z

Answer 1

\[\frac1x+\frac1y=\frac1z\implies x={yz\over y-z}\]and you want to know how?

Answer 2

yes please

Answer 3

first multiply the original expression by \(xyz\) on both sides to get rid of the fractions
what do you get?

Answer 4

yz+xz=xy?

Answer 5

yes
now we want to solve this for x, so get all the expression that have an x in them on the same side of the = sign

Answer 6

ok yz=xy-xz?

Answer 7

oh i got it! thanks!

Answer 8

welcome :)