Question

Solve for z. z−4/9−1/3=5/9

Answer 1

z-4/9-1/3=5/9
z-4 =5/9(9-1/3)

z-4 =4.414814815

z =8.814

Answer 2

Answer:  The required value of z is $\dfrac{4}{3}.$

Step-by-step explanation:  We are given to solve the following equation for z :

$z-\dfrac{4}{9}-\dfrac{1}{3}=\dfrac{5}{9}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

To solve the given equation for z, we need to take all the constant terms on the right-hand side of the equation.

From equation (i), we have

$z-\dfrac{4}{9}-\dfrac{1}{3}=\dfrac{5}{9}\\\\\\\Rightarrow z=\dfrac{5}{9}+\dfrac{1}{3}+\dfrac{4}{9}\\\\\\\Rightarrow z=\dfrac{5+3+4}{9}\\\\\\\Rightarrow z=\dfrac{12}{9}\\\\\Rightarrow z=\dfrac{4}{3}.$

Thus, the required value of z is $\dfrac{4}{3}.$