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

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

anonymous · Answer

Use elimination, x and y both cancel out, so it's 0=0. That's infinite.

nbarrera · Answer

Multiply both sides of the first equation by 2.

anonymous · Answer

2x+4y=0
@nbarrera

anonymous · Answer

Noo, multiply them by -2. Then add the top and botton equations.

anonymous · Answer

oh okay so then both sides equal zero @logancoop

anonymous · Answer

Yep, and since 0=0 it's infinite.

anonymous · Answer

@madison.bush if multiplying or dividing any of equation, you get second one, then solutions are infinite.

anonymous · Answer

Like, if I multiply 2 with your first equation, we will get second equation.

anonymous · Answer

infinite is not one of my answer choices. they are 
one solution
no solution
coincident

anonymous · Answer

$2(x+2y = 0)$
$\implies 2x + 4y = 0$, this is same as your second equation.

anonymous · Answer

Coincident = Infinite number Solutions.

anonymous · Answer

Coincident means the two lines are fully overlapping over each other. :)

anonymous · Answer

OHHHH THANKS!

anonymous · Answer

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