Respuesta :

the answer to 7 times z reduced by a third of the product is 2z

Answer:

7 times z reduced by a third of the product is [tex]-\frac{14z}{3}[/tex].

Step-by-step explanation:

Given : Expression 7 times z reduced by a third of the product.

To find : What is the expression ?

Solution :

7 times z is written as 7z.

A third of the product is written as [tex]\frac{1}{3}(7z)[/tex].

7 times z reduced by a third of the product is given by,

[tex]\frac{1}{3}(7z)-7z[/tex]

[tex]=\frac{7z}{3}-7z[/tex]

[tex]=\frac{7z-21z}{3}[/tex]

[tex]=\frac{-14z}{3}[/tex]

Therefore, 7 times z reduced by a third of the product is [tex]-\frac{14z}{3}[/tex].