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

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 :)

2 answers

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.
please clarify "Dividing both sides by 4, we get x = 3/8z ".
6z / 4 = 3/2z doesn't it?