Question

z/3 - 4(z-1) = 5(z-2)+1
What is the value of z?

Answer 1

Answer:  $\frac{3}{2}$

Step-by-step explanation:

First, we need to open the brackets on either side of the equation.

$\frac{z}3}$ - 4z+4 = 5z-10+1

After opening the brackets, we need to separate the variables from the constants.

$\frac{z}{3}$ -4z-5z = -10+1-4

Then we need to convert the variable fraction into a normal variable by multiplying the variable fraction and also all other terms in the equation.

3($\frac{z}{3}$) 3(-4z) 3(-5z) = 3(-10) + 3(1) + 3(-4)

z -12z -15z = -30+3-12

Now, we can simplify the equation !

-26z = -39

z = -39÷-26

  =  $\frac{3}{2}$