Solve For Z 3z 5 2z 25 5z
Solving for Z
Solving equations is a fundamental skill in math, and one of the most important parts of any math course. Solving for z is one of the most common equations that students will come across in their math studies. The equation 3z + 5 + 2z = 25 + 5z may seem daunting, but with the help of a few simple steps, it can be solved with ease. In this article, we'll be going over how to solve for z in the equation 3z + 5 + 2z = 25 + 5z.
Understanding the Equation: What is Z?
The first step in solving for z is to understand what z is. Z is a variable that stands for an unknown number. In the equation 3z + 5 + 2z = 25 + 5z, z is the unknown number that we are trying to find. To solve for z, we will have to use the information that we know to find the unknown number.
Organizing the Equation
The next step in solving for z is to organize the equation. This means that we will need to group together like terms. Like terms are terms that are the same, for example, 3z and 2z are like terms. By grouping like terms together, the equation becomes easier to solve. The equation 3z + 5 + 2z = 25 + 5z can be organized to look like this:
5z + 2z = 25 + 3z
Simplifying the Equation
Once the equation is organized, we can begin to simplify it. Simplifying an equation means that we will be removing like terms. In this case, we have two like terms: 5z and 2z. We will combine these terms to get 7z, which is the simplified version of the equation. The equation 5z + 2z = 25 + 3z can be simplified to look like this:
7z = 25 + 3z
Solving for Z
Now that the equation is simplified, we can begin to solve for z. To do this, we will need to get all of the z's on one side of the equation and all of the other numbers on the other side. To do this, we will subtract 3z from both sides, which will leave us with 4z = 25. Now, we can divide both sides of the equation by 4, which will give us z = 25/4. This means that the answer to the equation 3z + 5 + 2z = 25 + 5z is z = 25/4.
Conclusion
Solving for z can be a difficult task, but with the help of a few simple steps, it can be done with ease. By understanding what z is, organizing the equation, simplifying it, and then solving for z, you can solve the equation 3z + 5 + 2z = 25 + 5z and find that the answer is z = 25/4.