Question

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

Answer 1

Answer:

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

Step-by-step 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

$x =2y-5\\x+5 = 2y\\y=\frac{x+5}{2}$

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

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

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