Make K The Subject Of K+t-7=m
Solving for K: A Step-by-Step Guide to Isolating the Variable in the Equation K + T - 7 = M
In algebra, solving for a variable means isolating it on one side of the equation. This is a crucial skill to master, as it allows you to find the value of the variable and make predictions or conclusions based on the equation. In this article, we will focus on solving for the variable K in the equation K + T - 7 = M. We will break down the steps involved in isolating K and provide examples to illustrate the process.
Understanding the Equation
The equation K + T - 7 = M is a linear equation that involves the variables K and T. To solve for K, we need to isolate it on one side of the equation. This means that we need to get rid of the other variables and constants that are attached to K.
Step 1: Add 7 to Both Sides of the Equation
The first step in solving for K is to add 7 to both sides of the equation. This will help us get rid of the negative term -7 that is attached to K.
K + T - 7 + 7 = M + 7
Simplifying the equation, we get:
K + T = M + 7
Step 2: Subtract T from Both Sides of the Equation
The next step is to subtract T from both sides of the equation. This will help us get rid of the variable T that is attached to K.
K + T - T = M + 7 - T
Simplifying the equation, we get:
K = M + 7 - T
Step 3: Simplify the Right-Hand Side of the Equation
The final step is to simplify the right-hand side of the equation. We can do this by combining the constants M and 7.
K = M + 7 - T
Simplifying the equation, we get:
K = M + 7 - T
However, we can simplify it further by combining the constants M and 7 into a single constant.
K = (M + 7) - T
In conclusion, solving for K in the equation K + T - 7 = M involves three main steps: adding 7 to both sides of the equation, subtracting T from both sides of the equation, and simplifying the right-hand side of the equation. By following these steps, we can isolate K and find its value.
Example 1: Solving for K
Let's say we have the equation K + 3 - 7 = 10. We can solve for K by following the steps outlined above.
K + 3 - 7 = 10
Adding 7 to both sides of the equation, we get:
K + 3 = 10 + 7
Simplifying the equation, we get:
K + 3 = 17
Subtracting 3 from both sides of the equation, we get:
K = 17 - 3
Simplifying the equation, we get:
K = 14
Example 2: Solving for K
Let's say we have the equation K + 2 - 7 = 5. We can solve for K by following the steps outlined above.
K + 2 - 7 = 5
Adding 7 to both sides of the equation, we get:
K + 2 = 5 + 7
Simplifying the equation, we get:
K + 2 = 12
Subtracting 2 from both sides of the equation, we get:
K = 12 - 2
Simplifying the equation, we get:
K = 10
Here are some tips and tricks to help you solve for K in the equation K + T - 7 = M:
- Make sure to add 7 to both sides of the equation to get rid of the negative term -7.
- Subtract T from both sides of the equation to get rid of the variable T that is attached to K.
- Simplify the right-hand side of the equation by combining the constants M and 7.
- Use the order of operations (PEMDAS) to simplify the equation.
By following these steps and tips, you can solve for K in the equation K + T - 7 = M and find its value.
Frequently Asked Questions: Solving for K in the Equation K + T - 7 = M
Q: What is the first step in solving for K in the equation K + T - 7 = M?
A: The first step in solving for K is to add 7 to both sides of the equation. This will help us get rid of the negative term -7 that is attached to K.
Q: Why do we need to add 7 to both sides of the equation?
A: We need to add 7 to both sides of the equation to get rid of the negative term -7. This is because when we add a positive number to a negative number, we are essentially canceling out the negative term.
Q: What is the next step in solving for K?
A: The next step in solving for K is to subtract T from both sides of the equation. This will help us get rid of the variable T that is attached to K.
Q: Why do we need to subtract T from both sides of the equation?
A: We need to subtract T from both sides of the equation to get rid of the variable T that is attached to K. This is because when we subtract a variable from both sides of an equation, we are essentially isolating the variable on one side of the equation.
Q: How do we simplify the right-hand side of the equation?
A: We can simplify the right-hand side of the equation by combining the constants M and 7. This will help us get a simpler expression for the right-hand side of the equation.
Q: What is the final step in solving for K?
A: The final step in solving for K is to simplify the right-hand side of the equation. This will give us the value of K.
Q: What if the equation has multiple variables?
A: If the equation has multiple variables, we need to isolate one variable at a time. We can do this by following the same steps outlined above, but we need to be careful to isolate each variable separately.
Q: What if the equation has a fraction or a decimal?
A: If the equation has a fraction or a decimal, we need to simplify it before solving for K. We can do this by following the order of operations (PEMDAS) and simplifying the fraction or decimal.
Q: Can I use a calculator to solve for K?
A: Yes, you can use a calculator to solve for K. However, it's always a good idea to check your work by hand to make sure you get the correct answer.
Q: What if I get stuck while solving for K?
A: If you get stuck while solving for K, don't worry! You can try breaking down the problem into smaller steps or asking for help from a teacher or tutor. You can also try using online resources or video tutorials to help you understand the concept.
In conclusion, solving for K in the equation K + T - 7 = M involves several steps, including adding 7 to both sides of the equation, subtracting T from both sides of the equation, and simplifying the right-hand side of the equation. By following these steps and tips, you can solve for K and find its value. Remember to always check your work by hand and ask for help if you get stuck!