Isolating for v: A Step-by-Step Guide

[uazaga]

1005 = 1000 (1500-5/1500-v)
I need to isolate for v but I have no clue how to do this. How would i go about doing so?

 

[rl.bhat]

1005= 1000(1500) - 1000*5/(1500-V)
Multiply all the three terms by (1500 - v) and simplify to get v.

 

[kerimek]

I understand that isolating for a variable can be a challenging task, but it is a crucial step in solving equations and understanding relationships between variables. In this case, we are trying to isolate for v in the equation 1005 = 1000 (1500-5/1500-v).

To start, we need to use the basic principles of algebra to isolate v on one side of the equation. We can do this by first distributing the 1000 on the right side of the equation, which will give us 1500000 - 5v = 1005.

Next, we can rearrange the equation by subtracting 1500000 from both sides, which will give us -5v = -1499945. Then, we can divide both sides by -5 to isolate v, resulting in v = 299989.

In summary, to isolate for v, we need to use the principles of algebra such as distribution and inverse operations (addition, subtraction, multiplication, and division) to manipulate the equation until the variable is isolated on one side. It may take a few steps, but with practice and understanding of algebraic concepts, you can successfully isolate any variable in an equation.