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


A. one solution
B. no solution
C. coincident

Answer 1

did u try solving them?

Answer 2

no not at all.. im just on here for the heck of it ...

Answer 3

okiee

Answer 4

So you can do this a few ways. You can write it out in matrix form and reduce it to echelon form, but that's too complex for such a simple linear equation with two variables.

Easiest way to do it: rearrange one of the equations so one variable is the subject. Substitute that into the respective equation, and calculate. What do you see?

Answer 5

Note: I only stated the echelon form part because that might be what they're asking in the question. It depends what level of mathematics you're doing.