Question

If x=2y-5 and z=16y^3, what is z in terms of x

Answer 1

z in terms of x is
`\mathbf{z=16\left((x+5)/(2)\right)^3}`

Explanation:

We are given:

`x=2y-5\: and\: z=16y^3`

We need to find z in terms of x

First we can find value of y from x =2y-5

`x =2y-5\\x+5 = 2y\\y=(x+5)/(2)`

Now, we can put value of y in
`z=16y^3` to find z in terms of x

`z=16y^3\\Put\:y=(x+5)/(2)\\z=16(\frac {x+5}{2})^3`

So, z in terms of x is
`\mathbf{z=16\left((x+5)/(2)\right)^3}`