Question

Determine if the solution set for the system of equations shown is the empty set, contains one point or is infinite.

X+ 2y = 0
2x + 4y = 0
one solution
no solution
coincident

Answer 1

`first \ equation \ x + 2y = 0\\x = -2y\\Second equation \ 2x +4y = 0\\2(-2y)+4y = 0\\-4y + 4y = 0\\`

only one solution

Answer 2

coincident

Explanation:

x + 2y = 0

2x + 4y = 0 This equation, is you divide through by 2, gives you x + 2y = 0

∴ these equations are the same which means there are an infinite number of solutions; these equations, if graphed, would produce coinciding lines