How many solutions does the equation have?
\[ 6 - a = \frac{1}{3} (9a - 18) \]
A. one solution
B. infinite solutions
C. no solution
Answer (3)
6 − a = 3 1 ( 9 a − 18 ) 6 − a = 3 a − 6 4 a = 12 a = 3
A
One solution: 6 - a = 1/3 (9a - 18) 6 - a = 3a - 6 6 + 6 = 3a + a 12 = 4a 12/4 = a 3 = a
The equation 6 − a = 3 1 ( 9 a − 18 ) simplifies to yield a single solution, which is a = 3 . Therefore, there is one solution to the equation. The chosen option is A.
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