How many solutions will this system of equations have?

x - 2y = 24
3x - 6y = 72

No solution

Infinite solutions

One solution

Two solutions

Question

How many solutions will this system of equations have?

x - 2y = 24
3x - 6y = 72

 No solution

 Infinite solutions

 One solution

 Two solutions

anonymous · Answer

second eq. is same except that it is multiplied by 3
so actually there is only one eq. and it has infinite solutions.

anonymous · Answer

@surjithayer is right
they are both the same relation, so whatever set of solutions works in the one also works in the other

anonymous · Answer

Okay, thanks.

anonymous · Answer

yw

anonymous · Answer

x - 2y = 24
3x - 6y = 72   (divide through by 3) --> x - 2y = 24

they are the same equations
therefore share an infinite number of solutions

infinite number of solutions is for when system of equations is the same equations
no solution is when they are parallel (slopes are the same)