State if the statement (5a - 9b) - (- 6a + 2b) = (- a - 7b) is true or false.

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True

False

answer is B.

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Detailed Solution

We are given an equation as follows,
(5a - 9b) - (- 6a + 2b) = (- a - 7b).
First, we simplify the left side of the equality and check if it is the same as the right side of the equality or not.
(5a - 9b) - (- 6a + 2b)
5a - 9b + 6a - 2b = 5a + 6a - 9b -2b
= 11a – 11b
= 11(a – b)
But this is not the same expression as on the right-hand side, i.e,

11 (a − b) ≠ (− a − 7 b)

.
So, the given statement is false.
The correct algebraic expression is 5a - 9b + 6a - 2b = 11(a -b).
Hence, the correct option is 2.

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