Question 43

y equals 19

To solve for y in the equation 4y + 21/y when y is given as 3, we can substitute 3 into the equation. This leads to a calculation that simplifies to a final value of 19.

A) 7.7

Option A is incorrect because substituting y = 3 into the equation does not yield this value. The calculations do not align with the procedures for solving the expression.

B) 23/3

Option B is incorrect as well, as substituting y = 3 into the equation results in a different value. The computation steps do not support this fraction.

C) 19

Option C is correct because when we substitute y = 3 into the equation 4(3) + 21/3, we calculate 12 + 7, resulting in 19. This confirms that y equals 19.

D) 11

Option D is incorrect since substituting y = 3 into the equation does not produce this result. The mathematical operations do not lead to a value of 11.

Conclusion

The correct answer is definitively 19, as shown by the substitution and calculations performed. All other options fail to satisfy the equation when y is set to 3, demonstrating that they do not represent the correct solution.