Question

Which system of equations has infinitely many solutions?
A)6x + 3y = 12
3x + y = 9
B)2x + 3y = 6
4x + y = 8
C)12x +9y = 6
4x + 3y = 6
D)5x + 10y = 20
2x+4y=8​

Answer 1

The answer is D.

Divide the first equation by 5 to get
x + 2y = 4

Divide the second equation by 2 to also get
x + 2y = 4

Since they are the same equation it results in an answer that has infinitely many solutions.

Answer 2

D)
If you multiply 5x+10y=20 by 2 and 2x+4y=8 by 5 that are equal