# Solve Math Problem: Find Z Given X, Y, & Z Variables

• thekeyboardbum
In summary, the conversation is about a math problem with 2 dependent variables (X and Y) and 1 independent variable (Z). The goal is to find the value of Z, which must be a positive number. The speaker has attempted to solve the problem by eliminating common variables, but has not been successful. Another person suggests adding the expressions for X and Y and then solving for Z using the quadratic formula. The speaker is surprised that they didn't think of this solution and thanks the other person for their help.
thekeyboardbum
Hey, i stumbled across a math problem that's got me stump and I was wondering if anyone can help me out. What we have are there 2 dependent variables and 1 independent variable (X,Y, and Z respectively). It looks something like this
X = Z²*201527
Y = Z*54794
324634960= X + Y

What I am trying to do is find Z.

I Thought i could elimnate common variables to get an answer but I guess not, unless I am doing doing something wrong. If it helps Z must be a positive Number. Thanks for the help =)
Oh and one thing, if possible could you make a similar problem up? I kind of want to solve this one by myself but I am not sure how to =p

Last edited:
Add the expressions for X and Y in terms of Z together, and then set that equal to what you know X+Y is. Then you can solve for Z, and also find X and Y if you wanted or needed to.

Hey i meant to post this the other day, but someone already solved it simply by useing the quadatric formula =p. I am surprised that didn't stick out. Well thanks anyways =D.

## 1. What is the formula for solving this math problem?

The formula for solving this math problem is Z = X + Y, where Z is the unknown variable and X and Y are given variables.

## 2. Can you provide an example of this type of math problem?

For example, if X = 5 and Y = 2, the equation becomes Z = 5 + 2, and the solution is Z = 7.

## 3. How do I know which variable to solve for?

You can determine which variable to solve for by looking at the given variables and determining which one is missing from the equation. In this case, Z is the missing variable, so that is what we are solving for.

## 4. What happens if there are multiple unknown variables?

If there are multiple unknown variables, you will need to have enough equations to solve for all of them. Each equation will have a different combination of known and unknown variables, and you can use the equations together to solve for each unknown variable.

## 5. Are there any special cases or exceptions for solving this type of problem?

Yes, there may be special cases or exceptions depending on the specific problem and the given variables. It is important to carefully read and understand the problem before attempting to solve it and to check your work to ensure that the solution is correct.

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