Question

PLEASE HELP! D:

The expression on the left side of an equation is shown below. 3(x+1) +9=_


If the equation has no solution, which expression can be written in the box on the other side of the equation?

A) 3(x+4)

B) 2(x+6)+x

C) 4(x – 3) – x

D) 3(x+1)+9x

Answer 1

C. 4(x-3)-x

Explanation:

All of the given expressions are equivalent to 3x+12 except selection C. Using that in your equation makes it be ...

... 3(x +1) +9 = 4(x -3) -x

... 3x +12 = 3x -12

... 12 = -12 . . . . . false

There is no value of x that will make this true, hence NO SOLUTION.

_____

Comment on the other choices

3x+12 = 3x+12 has an infinite number of solutions, as any value of x will make this true.

Answer:

C. 4(x-3)-x

Answer 2

The answer best would be c