Question

Solve the equation: (5 + 6) - 33 = 9 - 5. What is the correct solution?

a) 3
b) 29
c) 2
d) 16

Answer 1

The correct answer is none of the provided options.

Step-by-step explanation:

The given equation is (5 + 6) - 33 = 9 - 5. Let's solve it step by step.

First, simplify both sides of the equation:

(11) - 33 = 4

Combine like terms:

-22 = 4

Now, isolate the variable by adding 22 to both sides:

-22 + 22 = 4 + 22

This simplifies to:

0 = 26

However, this results in a contradiction, indicating that the original equation has no solution. Therefore, the correct answer is none of the provided options.

In detail, the initial equation (5 + 6) - 33 = 9 - 5 simplifies to 11 - 33 = 4. Further simplification leads to -22 = 4, which is a contradiction. The impossibility arises from attempting to equate -22 and 4, showing that no value of the variable satisfies the equation.

Therefore, the correct answer is that there is no solution, and the provided options are not applicable. It's crucial to recognize such instances where an equation leads to a contradiction, as it signifies an inconsistency in the given values. In this case, the equation does not hold true for any value of the variable, making the correct answer "none of the above."