Question

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

Answer 1

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

Answer 2

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.