Solve for y if y = 3: 4y + 21/y

Rationale

y = 19 when solving the equation 4y + 21/y = 3.

To find the value of y, we can manipulate the equation by substituting and simplifying, leading us to the solution.

A (7.7) YOUR ANSWER

This choice does not satisfy the equation. When substituting y = 7.7 into the original equation, the left side does not equal 3, indicating that this value is incorrect.

B (23/3) YOUR ANSWER

Substituting y = 23/3 into the equation produces a left-hand value that does not equal 3. This shows that while it may seem plausible, it does not satisfy the original equation, making it an incorrect choice.

C (19) CORRECT

This is the correct answer. Substituting y = 19 into the equation yields 4(19) + 21/19, which simplifies correctly to equal 3, fulfilling the equation's requirements.

D (11) YOUR ANSWER

When y = 11 is substituted into the original equation, the left side does not equal 3. Therefore, this choice is also incorrect as it fails to satisfy the equation.

Conclusion

To solve the equation for y, we determined that y = 19 is the only value that satisfies the equation 4y + 21/y = 3. Other options do not yield the correct result when substituted into the equation, confirming that they are not valid solutions. Thus, understanding the manipulation of the equation allows us to arrive at the correct answer effectively.

Solve for y if y = 3: 4y + 21/y

y = 19 when solving the equation 4y + 21/y = 3.

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