115k views
1 vote
Assume the equation has a solution for z.
16z+29z=pz-v
z = ______

1 Answer

3 votes

Final answer:

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.

User Jimmy Long
by
7.9k points

Related questions

asked Mar 12, 2018 134k views
Ashok K Harnal asked Mar 12, 2018
by Ashok K Harnal
8.0k points
2 answers
4 votes
134k views
asked Aug 14, 2018 23.3k views
Emm asked Aug 14, 2018
by Emm
7.8k points
2 answers
1 vote
23.3k views
2 answers
2 votes
191k views