Find The Value Of $y$ In This Equation: $16y = 164$.A. 180 B. 32 C. $ 10 1 4 10 \frac{1}{4} 10 4 1 [/tex] D. $16 \frac{1}{4}$
Solving for y in the Equation 16y = 164
In this article, we will focus on solving for the value of y in the given equation 16y = 164. This equation is a simple linear equation, and we will use basic algebraic techniques to solve for y. We will also provide a step-by-step solution to help readers understand the process.
The given equation is 16y = 164. This equation states that 16 times y is equal to 164. To solve for y, we need to isolate y on one side of the equation.
Step 1: Divide Both Sides by 16
To isolate y, we need to get rid of the 16 that is being multiplied by y. We can do this by dividing both sides of the equation by 16.
Simplifying the Equation
When we divide both sides of the equation by 16, we get:
Simplifying the Fraction
To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 4.
Converting the Fraction to a Mixed Number
To convert the fraction to a mixed number, we can divide the numerator by the denominator and write the remainder as the new numerator.
In this article, we solved for the value of y in the equation 16y = 164. We used basic algebraic techniques to isolate y on one side of the equation and then simplified the fraction to get the final answer. The value of y is 10 1/4.
Let's compare our answer with the answer choices provided:
- A. 180: This is not the correct answer.
- B. 32: This is not the correct answer.
- C. 10 1/4: This is the correct answer.
- D. 16 1/4: This is not the correct answer.
The final answer is C. 10 1/4.
Solving for y in the Equation 16y = 164: Q&A
In our previous article, we solved for the value of y in the equation 16y = 164. In this article, we will provide a Q&A section to help readers understand the solution better. We will answer some common questions that readers may have while solving for y in the equation.
Q: What is the first step in solving for y in the equation 16y = 164?
A: The first step in solving for y in the equation 16y = 164 is to divide both sides of the equation by 16. This will help us isolate y on one side of the equation.
Q: Why do we need to simplify the fraction?
A: We need to simplify the fraction to get the final answer. Simplifying the fraction will help us express the answer in the simplest form possible.
Q: How do we simplify the fraction?
A: To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor. In this case, the greatest common divisor is 4.
Q: What is the final answer to the equation 16y = 164?
A: The final answer to the equation 16y = 164 is 10 1/4.
Q: Why is 10 1/4 the correct answer?
A: 10 1/4 is the correct answer because it is the result of simplifying the fraction 164/16. When we divide 164 by 16, we get 10 with a remainder of 4, which is equivalent to 10 1/4.
Q: What if the equation was 16y = 160? How would we solve for y?
A: If the equation was 16y = 160, we would follow the same steps as before. We would divide both sides of the equation by 16 to isolate y, and then simplify the fraction to get the final answer.
Q: Can we use a calculator to solve for y in the equation 16y = 164?
A: Yes, we can use a calculator to solve for y in the equation 16y = 164. However, using a calculator is not necessary in this case, as we can solve for y using basic algebraic techniques.
Q: What if the equation was 16y = 168? How would we solve for y?
A: If the equation was 16y = 168, we would follow the same steps as before. We would divide both sides of the equation by 16 to isolate y, and then simplify the fraction to get the final answer.
In this article, we provided a Q&A section to help readers understand the solution to the equation 16y = 164. We answered some common questions that readers may have while solving for y in the equation. We hope that this Q&A section has helped readers understand the solution better.
The final answer is 10 1/4.