Find the value of z of the equation 2z=5(8-z)​

Hey Mate,

Given,

z - 2z/3 + z/2 = 5

Then, On taking the LCM of 1, 2 and 3 as we get 6, the new equation will be :-

=>  = 5

=>   = 5

=> 5z = 5 x 6

=> z = 30/5

=> z = 6

Therefore, z = 6 is the root of the equation z - 2z/3 + z/2 = 5.

Now on substituting the value of z as 6 in the given equation, we get:-

( 6 ) - 2(6)/3 + ( 6 )/2 = 5

6 - 12/3 + 3 = 5

6 - 4 + 3 = 5

2 + 3 = 5

5 = 5

Since, LHS = RHS, z = 6 is the correct root for the equation :-

z - 2z/3 + z/2 = 5

Hope it Helps!

z = 40/7

z = 5.714285

z = 5 5/7

Step-by-step explanation:

the correct answer is d

hope this