Evaluate The Expression When { X = 8 $}$ And { Y = 7 $} . . . { Y + \frac{56}{x} \}

Mar 7, 2025 by ADMIN 84 views

Evaluate the Expression with Given Values of x and y

Introduction

In this article, we will evaluate the expression $y + \frac{56}{x}$ when $x = 8$ and $y = 7$ . This involves substituting the given values of $x$ and $y$ into the expression and simplifying it to obtain the final result.

Understanding the Expression

The given expression is $y + \frac{56}{x}$ . This expression involves two variables, $y$ and $x$ , and a fraction. The fraction $\frac{56}{x}$ represents the division of 56 by the value of $x$ . To evaluate this expression, we need to substitute the given values of $x$ and $y$ into the expression.

Substituting the Given Values

We are given that $x = 8$ and $y = 7$ . To evaluate the expression, we substitute these values into the expression $y + \frac{56}{x}$ . This gives us:

$7 + \frac{56}{8}$

Simplifying the Expression

To simplify the expression, we need to evaluate the fraction $\frac{56}{8}$ . This involves dividing 56 by 8, which gives us:

$\frac{56}{8} = 7$

Evaluating the Final Expression

Now that we have evaluated the fraction, we can substitute this value back into the expression:

$7 + 7$

Final Result

Evaluating the expression $7 + 7$ gives us a final result of:

$14$

Conclusion

In this article, we evaluated the expression $y + \frac{56}{x}$ when $x = 8$ and $y = 7$ . We substituted the given values of $x$ and $y$ into the expression, simplified the fraction, and obtained a final result of 14.

Step-by-Step Solution

Here is a step-by-step solution to the problem:

Substitute the given values of $x$ and $y$ into the expression $y + \frac{56}{x}$ .
Evaluate the fraction $\frac{56}{x}$ by dividing 56 by the value of $x$ .
Simplify the expression by substituting the evaluated fraction back into the expression.
Evaluate the final expression to obtain the final result.

Frequently Asked Questions

What is the value of $x$ in the expression $y + \frac{56}{x}$ ?
What is the value of $y$ in the expression $y + \frac{56}{x}$ ?
How do we evaluate the fraction $\frac{56}{x}$ ?
What is the final result of the expression $y + \frac{56}{x}$ when $x = 8$ and $y = 7$ ?

Answer to Frequently Asked Questions

The value of $x$ in the expression $y + \frac{56}{x}$ is 8.
The value of $y$ in the expression $y + \frac{56}{x}$ is 7.
To evaluate the fraction $\frac{56}{x}$ , we divide 56 by the value of $x$ .
The final result of the expression $y + \frac{56}{x}$ when $x = 8$ and $y = 7$ is 14.

Real-World Applications

The expression $y + \frac{56}{x}$ has real-world applications in various fields, such as:

Finance: The expression can be used to calculate the interest on a loan or investment.
Science: The expression can be used to calculate the concentration of a solution.
Engineering: The expression can be used to calculate the stress on a material.

Conclusion

In conclusion, evaluating the expression $y + \frac{56}{x}$ when $x = 8$ and $y = 7$ involves substituting the given values of $x$ and $y$ into the expression, simplifying the fraction, and obtaining a final result of 14. This expression has real-world applications in various fields and can be used to calculate interest, concentration, and stress.

Introduction

In our previous article, we evaluated the expression $y + \frac{56}{x}$ when $x = 8$ and $y = 7$ . In this article, we will answer some frequently asked questions related to the evaluation of the expression.

Q&A

Q1: What is the value of x in the expression y + \frac{56}{x}?

A1: The value of x in the expression y + \frac{56}{x} is 8.

Q2: What is the value of y in the expression y + \frac{56}{x}?

A2: The value of y in the expression y + \frac{56}{x} is 7.

Q3: How do we evaluate the fraction \frac{56}{x}?

A3: To evaluate the fraction \frac{56}{x}, we divide 56 by the value of x.

Q4: What is the final result of the expression y + \frac{56}{x} when x = 8 and y = 7?

A4: The final result of the expression y + \frac{56}{x} when x = 8 and y = 7 is 14.

Q5: Can we use the expression y + \frac{56}{x} to calculate interest on a loan or investment?

A5: Yes, we can use the expression y + \frac{56}{x} to calculate interest on a loan or investment.

Q6: Can we use the expression y + \frac{56}{x} to calculate the concentration of a solution?

A6: Yes, we can use the expression y + \frac{56}{x} to calculate the concentration of a solution.

Q7: Can we use the expression y + \frac{56}{x} to calculate the stress on a material?

A7: Yes, we can use the expression y + \frac{56}{x} to calculate the stress on a material.

Q8: What are some real-world applications of the expression y + \frac{56}{x}?

A8: Some real-world applications of the expression y + \frac{56}{x} include calculating interest on a loan or investment, calculating the concentration of a solution, and calculating the stress on a material.

Q9: How do we simplify the expression y + \frac{56}{x}?

A9: To simplify the expression y + \frac{56}{x}, we substitute the evaluated fraction back into the expression and evaluate the final expression.

Q10: What is the step-by-step solution to the problem of evaluating the expression y + \frac{56}{x} when x = 8 and y = 7?

A10: The step-by-step solution to the problem of evaluating the expression y + \frac{56}{x} when x = 8 and y = 7 is:

Substitute the given values of x and y into the expression y + \frac{56}{x}.
Evaluate the fraction \frac{56}{x} by dividing 56 by the value of x.
Simplify the expression by substituting the evaluated fraction back into the expression.
Evaluate the final expression to obtain the final result.

Conclusion

In this article, we answered some frequently asked questions related to the evaluation of the expression y + \frac{56}{x} when x = 8 and y = 7. We provided step-by-step solutions to the problem and discussed some real-world applications of the expression.

Frequently Asked Questions

What is the value of x in the expression y + \frac{56}{x}?
What is the value of y in the expression y + \frac{56}{x}?
How do we evaluate the fraction \frac{56}{x}?
What is the final result of the expression y + \frac{56}{x} when x = 8 and y = 7?
Can we use the expression y + \frac{56}{x} to calculate interest on a loan or investment?
Can we use the expression y + \frac{56}{x} to calculate the concentration of a solution?
Can we use the expression y + \frac{56}{x} to calculate the stress on a material?
What are some real-world applications of the expression y + \frac{56}{x}?
How do we simplify the expression y + \frac{56}{x}?
What is the step-by-step solution to the problem of evaluating the expression y + \frac{56}{x} when x = 8 and y = 7?

Answer to Frequently Asked Questions

The value of x in the expression y + \frac{56}{x} is 8.
The value of y in the expression y + \frac{56}{x} is 7.
To evaluate the fraction \frac{56}{x}, we divide 56 by the value of x.
The final result of the expression y + \frac{56}{x} when x = 8 and y = 7 is 14.
Yes, we can use the expression y + \frac{56}{x} to calculate interest on a loan or investment.
Yes, we can use the expression y + \frac{56}{x} to calculate the concentration of a solution.
Yes, we can use the expression y + \frac{56}{x} to calculate the stress on a material.
Some real-world applications of the expression y + \frac{56}{x} include calculating interest on a loan or investment, calculating the concentration of a solution, and calculating the stress on a material.
To simplify the expression y + \frac{56}{x}, we substitute the evaluated fraction back into the expression and evaluate the final expression.
The step-by-step solution to the problem of evaluating the expression y + \frac{56}{x} when x = 8 and y = 7 is:

Substitute the given values of x and y into the expression y + \frac{56}{x}.
Evaluate the fraction \frac{56}{x} by dividing 56 by the value of x.
Simplify the expression by substituting the evaluated fraction back into the expression.
Evaluate the final expression to obtain the final result.