Answer:
Option B) has infintely many solutions
That is Option B) 3y=x-4 and 3x-9y=-12 has infintely many solutions
Step-by-step explanation:
A system will have infinitely many solutions if each equations refers to the same line.
Given equations are
3y=x-4 and 3x-9y=-12 both the lines represents same line equation.In the given equations we have equations end up with unequal values on each side of the equation.
That is 3y=x-4
x-3y=4
Multiply with 3 we get
3x-9y=12
comparing the equations 3x-9y=12 and 3x-9y=-12 we get that the given system of equations has infinite solutions
Therefore option B) has infintely many solutions
