12) Which system of equations would have infinite solutions? WORK SHOWN PLEASE

A) y=2x+6
2y=4x+12

B) y=2x+6
y=2x+3

C) y=2x+6
y=-2x+6

D) y=1/2+6
2y=2x+6

A) y=2x+6

2y=4x+12

Step-by-step explanation:

The system of equations that has infinite solutions will have the same slope and same y-intercept.

Option A

The system is :

y=2x+6

2y=4x+12

When we divide through the second equation by 2, we get:

y=2x+6

y=2x+6

The two equations have the same slope and y-intercept.

Therefore the first system has infinite number of solutions.

For options B through D, the slope and y-intercepts are not the same.

Therefore the correct choice is A)

x = 3 ± √(5+y)