Question

Determine which system below will produce infinitely many solutions.

A) −6x + 3y = 18
4x − 3y = 6

B)2x + 4y = 24
6x + 12y = 36

C)3x − y = 14
−9x + 3y = −42

D) 5x + 2y = 13
−x + 4y = −6

Answer 1

infinitely many solution means the lines have to be the same

3x - y = 14....multiply everything by -3
-9x + 3y = - 42...notice that this is the same as the other equation...therefore, it is the same line with infinite solutions...so ur answer is C