Answered

Which expression is equivalent to 19x − 6x + 2 and why?

15x, because 19x − 6x + 2 = 13x + 2 = 15x

11x, because 19x − 6x + 2 = 19x − 8x = 11x

2 + 13x, because (19x − 6x) + 2 = 13x + 2 = 2 + 13x

2 − 13x, because (19x − 6x) + 2 = −13x + 2 = 2 − 13x

Verified Answer :

2 + 13x, because (19x − 6x) + 2 = 13x + 2 = 2 + 13x

Answer:  The correct option is

(C) \(2+13x\) because \((19x-6x)+2=13x+2.\)

Step-by-step explanation:  We are given to select the expression that is equivalent to \(19x-6x+2\) with reason.

To find the equivalent expression, we need to simplify the expression.

The simplification is as follows :

\(19x-6x+2=(19-6)x+2=13x+2=2+13x.\)

Thus, the equivalent expression is \(2+13x\) because \((19x-6x)+2=13x+2.\)

Option (C) is CORRECT.

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