Question

Explain why 3(x+4)=3(x−5)has no solution. Choose the best response below.

A.
The x-terms are the same, but the constant terms are different.
B.
The x-terms are different, but the constant terms are the same.
C.
The x-terms are the same, and the constant terms are the same.
D.
The x-terms are different, and the constant terms are different.

Answer 1

`3(x+4)=3(x-5)\\3x+12=3x-15\\3x+12-3x+15=0\\27=0`

The system of equations don't have any solutions due to the exact same x-terms.

For this both system of equations, the answer is A.

The x-terms are the same for the equation to be false.

The constant, however, is indeed different as shown in the equation.