Step-by-step explanation:
The given equations are :
x-3y=-4 ....(1)
3x-9y=-12 ...(2)
Multiply equation (1) by 3.
3x-9y=-12 ....(3)
Subtract equation (2) from (3).
3x-9y-(3x-9y) = -12-(-12)
In these equations,
[tex]\dfrac{1}{3}=\dfrac{1}{3}=\dfrac{1}{3}[/tex]
It means the given system of equations have infinitely many solutions. The lines are coincident.
