Answer
The statement is false. If adding two equations resulted in an expression of $3x=0$, this simply means that the value of $x$ that will satisfy the equation is $0$. Therefore, there exists a solution to the system.
Work Step by Step
The statement is false. If adding two equations resulted in an expression of $3x=0$, this simply means that the value of $x$ that will satisfy the equation is $0$. Therefore, there exists a solution to the system.