Solve For \[$ V \$\].$\[ 24 = -\frac{v}{3} \\]
Introduction
In mathematics, solving for a variable in an equation is a fundamental concept that is used to find the value of the variable. In this article, we will focus on solving for the variable v in the equation 24 = -\frac{v}{3}. This equation is a simple linear equation that can be solved using basic algebraic techniques.
Understanding the Equation
The equation 24 = -\frac{v}{3} is a linear equation that involves a variable v. The equation states that 24 is equal to the negative of v divided by 3. To solve for v, we need to isolate the variable v on one side of the equation.
Step 1: Multiply Both Sides by 3
To solve for v, we can start by multiplying both sides of the equation by 3. This will eliminate the fraction and make it easier to isolate the variable v.
24 = -\frac{v}{3}
24 \times 3 = -\frac{v}{3} \times 3
72 = -v
Step 2: Multiply Both Sides by -1
To isolate the variable v, we can multiply both sides of the equation by -1. This will eliminate the negative sign and make it easier to find the value of v.
72 = -v
-1 \times 72 = -1 \times -v
-72 = v
Conclusion
In conclusion, to solve for v in the equation 24 = -\frac{v}{3}, we can multiply both sides of the equation by 3 and then multiply both sides by -1. This will eliminate the fraction and the negative sign, and we will be left with the value of v.
Final Answer
The final answer is:
Example Use Case
Solving for v in the equation 24 = -\frac{v}{3} is a common problem in mathematics and physics. For example, in physics, the equation can be used to find the velocity of an object given its acceleration and time.
Tips and Tricks
When solving for v in the equation 24 = -\frac{v}{3}, make sure to follow the order of operations and multiply both sides of the equation by 3 before multiplying both sides by -1.
Common Mistakes
When solving for v in the equation 24 = -\frac{v}{3}, some common mistakes include:
- Not multiplying both sides of the equation by 3 before multiplying both sides by -1
- Not following the order of operations
- Not checking the sign of the variable v
Conclusion
Introduction
In our previous article, we discussed how to solve for the variable v in the equation 24 = -\frac{v}{3}. In this article, we will provide a Q&A section to help clarify any doubts and provide additional information on solving for v in this equation.
Q: What is the first step in solving for v in the equation 24 = -\frac{v}{3}?
A: The first step in solving for v in the equation 24 = -\frac{v}{3} is to multiply both sides of the equation by 3. This will eliminate the fraction and make it easier to isolate the variable v.
Q: Why do we multiply both sides of the equation by 3?
A: We multiply both sides of the equation by 3 to eliminate the fraction. This makes it easier to isolate the variable v and solve for its value.
Q: What is the next step in solving for v in the equation 24 = -\frac{v}{3}?
A: The next step in solving for v in the equation 24 = -\frac{v}{3} is to multiply both sides of the equation by -1. This will eliminate the negative sign and make it easier to find the value of v.
Q: Why do we multiply both sides of the equation by -1?
A: We multiply both sides of the equation by -1 to eliminate the negative sign. This makes it easier to find the value of v and solve the equation.
Q: What is the final answer to the equation 24 = -\frac{v}{3}?
A: The final answer to the equation 24 = -\frac{v}{3} is v = -72.
Q: Can you provide an example use case for solving for v in the equation 24 = -\frac{v}{3}?
A: Yes, an example use case for solving for v in the equation 24 = -\frac{v}{3} is in physics, where the equation can be used to find the velocity of an object given its acceleration and time.
Q: What are some common mistakes to avoid when solving for v in the equation 24 = -\frac{v}{3}?
A: Some common mistakes to avoid when solving for v in the equation 24 = -\frac{v}{3} include:
- Not multiplying both sides of the equation by 3 before multiplying both sides by -1
- Not following the order of operations
- Not checking the sign of the variable v
Q: How can I practice solving for v in the equation 24 = -\frac{v}{3}?
A: You can practice solving for v in the equation 24 = -\frac{v}{3} by working through multiple examples and exercises. You can also try solving for v in different equations to help you understand the concept better.
Conclusion
In conclusion, solving for v in the equation 24 = -\frac{v}{3} is a simple linear equation that can be solved using basic algebraic techniques. By following the steps outlined in this article and practicing with multiple examples, you can become proficient in solving for v in this equation.