Question 18

x = 5 1/2

To solve the equation (x+2)/3 = (2x-1)/4, we can cross-multiply to eliminate the fractions, leading to the solution x = 5 1/2.

A) 1 1/2

Option A is incorrect because substituting x = 1 1/2 into the original equation does not satisfy the equality. This value does not balance both sides when evaluated.

B) 2 1/2

Option B is also incorrect. When x = 2 1/2 is plugged back into the equation, it fails to make both sides equal, demonstrating that it is not a valid solution.

C) 4 1/2

Option C is incorrect as well. Testing x = 4 1/2 in the original equation shows that it does not satisfy the equation, confirming that it is not the correct answer.

D) 5 1/2

Option D is correct. When substituting x = 5 1/2 into the equation, both sides of (x+2)/3 = (2x-1)/4 balance out, confirming that this is the valid solution.

Conclusion

The correct answer is 5 1/2, as it is the only option that satisfies the original equation upon substitution. All other options fail to balance the equation, demonstrating that they are not valid solutions. Thus, the solution x = 5 1/2 is confirmed as the definitive answer.