Question

Assume the equation has a solution for z.
16z+29z=pz-v
z = ______

Answer 1

To solve for z in the equation 16z + 29z = pz - v, we combine like terms, factor z out, and then isolate z resulting in the solution z = -v / (45 - p), assuming p does not equal 45.

Step-by-step explanation:

Given the equation 16z + 29z = pz - v, the task is to solve for z when assuming that the equation has a solution for z. To find z, we first need to combine like terms on the left side of the equation:

45z = pz - v

Now we will isolate z on one side of the equation by moving all terms involving z to one side and other terms to the opposite side:

45z - pz = -v

We can factor z out from the left side:

z(45 - p) = -v

To solve for z, we divide both sides by (45 - p), assuming that p does not equal 45 to avoid division by zero:

z = -v / (45 - p)

This represents the value of z in terms of v and p.