Answer:
- a = -1
- b = -9
- c = 9
- d = 3
- e = 3
- f = 2
- g = 3/2 = 1.5
Explanation:
For "a", we recognize that 6-2x is the opposite of 2x-6, so multiplying the latter by -1 will give the former. a = -1
For "b", we notice the denominator no longer has -1 as a factor. Rather, that has be applied to the numerator, which is now -9. b = -9
For "c" we have combined the two numerators over the common denominator. Note that the sign is already provided. 3x +(-9) = 3x -9. c = 9
For "d" and "e", we recognize that 3 is a factor of both terms of the numerator of the previous expression. Here, we factor that out. d = 3, e = 3
The common factor of the terms in the denominator is factored out to find "f". That value is 2. f = 2
The numerator and denominator factors of (x -3) have been cancelled in the last step, leaving the result d/f = 3/2. This is the value of the simplified expression, hence the value of g. g = 3/2 = 1.5
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Comment on g
We don't know if your answer checker is able to accept fractions as input, so we have expressed g both as a fraction and as a decimal number.