JEE Main 2023 Mathematics question

For the system of linear equations x + y + z = 6, x + y + 7z = 3, x + 2y + 3z = 14, which of the following is NOT true?

• (A)If = and , then the system has a unique solution
• (B)If = = 7, then the system has no solution
• (C)There is a unique point (, ) on the line x + 2y + 18 = 0 for which the system has infinitely many solutions
• (D)For every point (, ) (7, 7) on the line x – 2y + 7 = 0, the system has infinitely many solutionsCorrect