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Printsmc
algebra intermediate
Problem
If and are real numbers, the equation has a unique solution [The symbol means that is different from zero]:
(A)
(B)
(C)
(D)
(E)
Solution
If the coefficients of the x-terms are equal on both sides, then when the x-terms are subtracted from both sides, the equation results in a number equals 1. This means the equation has either infinite or no solutions, so the x-terms can not be equal on both sides. Thus, , so the answer is .
Final answer
E