Problem
(9) Which statement is true of the system of equations shown below? \[ \begin{array}{l} 3 x+7 y=14 \\ 3 x+7 y=10 \end{array} \] (A) The system of equations has one solution: \( (0,4) \) (B) The system of equations has one solution: \( (4,0) \) (C) The system of equations has infinite solutions (D) The system of equations has no solutions
Solution
Step 1 ：Compare two equations: \(3x + 7y = 14\) and \(3x + 7y = 10\)
Step 2 ：Subtract the second equation from the first equation: \(0 = 4\)
Step 3 ：This result is a contradiction, so the system has no solutions
