Question

Determine which system below will produce infinitely many solutions.

−4x + 6y = 20
4x − 3y = −2

−2x + 4y = 18
4x − 8y = −36

3x − 2y = 5
−6x − 4y = −10

5x − 3y = 12
15x − 9y = 24

Answer 1

4x - 4y = -10

Answer 2

D:

15x - 9y = 24 (divide over 3)

5x - 3y = 12

Same equations, that means we have insufficient number of equation to get a solely answer so we have infinite.

You could use matrices, if you want I can provide a solution using them.

Answer 3

Matrix ranks.
Creamer rule. ( not sure of his name :) )

Answer 4

THANKS @TrojanPoem

Answer 5

You're welcome.