1x/1y = 2y/1z solve for x/z

Question

1x/1y = 2y/1z how would you solve for x/z is it 1x/1y * 2y = 2x/z or 1x/1y/2y = 0.5 x/z

Answer 1

x/y = 2y/z

Multiply both sides by y:

y(x/y) = y(2y/z)

x = 2y²/z

Multiply both sides by 1/z (or divide both sides by z):

(1/z) x = (1/z)(2y²/z)

 

x/z = 2y²/z²

or

x/z = 2(y/z)²

Answer 2

Hello Lana,

 

Kind of odd to solve for an x/z but the following is how I would proceed.

 

(1x)/(1y) = (2y)/(1z) is the same as x/y = (2y)/z start by getting your x/z by multiplying the second side by x/x

 

x/y = (2xy)/(xz), now multiply both sides by x/1

 

(x²)/y = (2xy)/z, now multiply both sides by 1/(2y)

 

(x²)/(2y²) = x/z

 

I am not sure if that is exactly what you are looking for but that is solved for the term x/z.