Question 2

X = 5

To solve for X in the equation 3(X + 2) = 21, we first distribute the 3, leading to 3X + 6 = 21. Subtracting 6 from both sides gives us 3X = 15, and dividing by 3 reveals that X = 5.

A) -5

Option A is incorrect because substituting -5 back into the original equation results in 3(-5 + 2) = 3(-3) = -9, which does not equal 21.

B) -6.33333

Option B is also incorrect. If we substitute -6.33333 into the equation, we find that 3(-6.33333 + 2) does not equal 21, confirming that this value does not satisfy the equation.

C) -9

Option C is incorrect as well; substituting -9 into the equation gives us 3(-9 + 2) = 3(-7) = -21, which is not equal to 21.

D) 5

Option D is correct. When substituting 5 back into the equation, we calculate 3(5 + 2) = 3(7) = 21, confirming that this solution satisfies the original equation.

Conclusion

The correct answer is 5, as it satisfies the equation 3(X + 2) = 21 when substituted back into it. All other options fail to meet the equation's requirements, demonstrating that they are not valid solutions for X. Thus, option D is the definitive answer.