Answer:
z in terms of x is [tex]\mathbf{z=16\left(\frac{x+5}{2}\right)^3}[/tex]
Step-by-step explanation:
We are given:
[tex]x=2y-5\: and\: z=16y^3[/tex]
We need to find z in terms of x
First we can find value of y from x =2y-5
[tex]x =2y-5\\x+5 = 2y\\y=\frac{x+5}{2}[/tex]
Now, we can put value of y in [tex]z=16y^3[/tex] to find z in terms of x
[tex]z=16y^3\\Put\:y=\frac{x+5}{2}\\z=16(\frac {x+5}{2})^3[/tex]
So, z in terms of x is [tex]\mathbf{z=16\left(\frac{x+5}{2}\right)^3}[/tex]
