Given 4x = 3y and y : z = 1 : 2

Question

Find x in terms of z.

i am aware that the answer is x = 3/8z , but i would like the explanation behind it please so that i understand :)

Answer 1

Since y : z = 1 : 2, we can rewrite this as y = 2z.
Substituting this into the equation 4x = 3y, we get 4x = 3(2z).
Simplifying this equation, we get 4x = 6z.
Dividing both sides by 4, we get x = 3/8z.

Answer 2

i'm a bit confused as to where the 3/8z came from. if you divide both sides by 4, don't you get x = 3/2z ??

please help!

Answer 3

y/z = 1/2 so y z/2
4x=3y
4x = 3(z/2)
x = 3z/8
or, as the bot said, 3/8 z