Question

Simplify the equation:

y = (2ab - 6bc) / 3(a - 2c)
a) y = 2b / 3
b) y = 2a / 3
c) y = 2ab / 3
d) y = 6bc / 3(a - 2c)

Answer 1

The simplified form of the equation y = (2ab - 6bc) / 3(a - 2c) is y = 2b / 3, which does not allow for further simplification.

The correct answer is A.

Step-by-step explanation:

To simplify the equation y = (2ab - 6bc) / 3(a - 2c), notice that both terms in the numerator have a factor of 2b. We can factor out 2b from the numerator, yielding:

y = 2b(ab - 3c) / 3(a - 2c).

Seeing that ab - 3c and a - 2c do not share common factors, and we cannot reduce them, we are left with:

y = 2b / 3.

This gives us the final simplified form, which corresponds to option a).