Final answer:
The elimination method with different coefficients is false. Option B is correct.
Step-by-step explanation:
The question is asking about the elimination method with different coefficients.
The correct answer is B) False.
The elimination method can be used with different coefficients in the equations, but it may require additional steps to balance the coefficients before elimination can be applied.
For example, let's say we have the equations:
2x + 3y = 8
4x + 6y = 12
We can multiply the first equation by 2 to get:
4x + 6y = 16
Now we can eliminate the x terms:
(4x + 6y) - (4x + 6y) = 16 - 12
0 = 4
This is a contradiction, so the system of equations is inconsistent and has no solution.
Therefore, the statement that the elimination method with different coefficients is true is false. Option B is correct.