Respuesta :

16z + 29z = pz - v....for z
45z = pz - v
45z - pz = -v
z(45 - p) = -v
z = -v / (45 - p) <==

Answer:

[tex]z = \frac{-v}{45-p}[/tex]

Step-by-step explanation:

Given the equation:

[tex]16z+29z =pz-v[/tex]          ....[1]

Solve for z:

Subtract pz from both sides in [1]  we have;

[tex]16z+29z-pz = -v[/tex]

taking z common we have;

[tex]z(16+29-p)= -v[/tex]

Combine like terms;

[tex]z(45-p)= -v[/tex]

Divide both sides by (45-p) we have;

[tex]z = \frac{-v}{45-p}[/tex]

Therefore, the value of z is, [tex]z = \frac{-v}{45-p}[/tex]