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Solve 6b - 1 = 2/3b + 11 for b.
A) 5/18
B) 9/4.
C) 9/5
D) 4/9


Sagot :

9514 1404 393

Answer:

  B)  9/4

Step-by-step explanation:

We can multiply by 3 to eliminate fractions, then solve the resulting 3-step equation in the usual way.

  6b -1 = 2/3b +11

  18b -3 = 2b +33 . . . . . . multiply by 3

  16b -3 = 33 . . . . . . . . . . subtract 2b

  16b = 36 . . . . . . . . . . . . add 3

  b = 36/16 = 9/4 . . . . . . .divide by the coefficient of b

The solution is b = 9/4.