Question 41

x + y = 3

To solve the equation 3x - 2y = 2x - 3y, we can rearrange the terms to find the relationship between x and y. Upon simplification, we determine that x + y equals 3.

A) -3

This option is incorrect as it suggests that the sum of x and y equals -3. Based on the rearranged equation, the correct value derived from solving the equation does not support this choice.

B) -2

Option B is also incorrect. If x + y were -2, it would contradict the result obtained from the equation. The arithmetic does not lead to this outcome.

C) [No text]

This option is missing and therefore cannot be evaluated.

D) 2

This option is incorrect as well. While 2 is a potential sum for various combinations of x and y, the specific solution derived from the given equation clearly indicates a different result.

E) 3

This option is correct. The algebraic manipulation of the original equation leads directly to the conclusion that x + y equals 3, which aligns perfectly with the simplified form of the equation.

Conclusion

The correct answer, x + y = 3, is definitively supported by the algebraic manipulation of the original equation. All other options fail because they do not match the established relationship between x and y derived from the equation. Thus, 3 is the only viable solution.