How do you solve the system of equations #-x + 4y = 0# and #2x + 5y = 0#?

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Answer 1 · 2017-08-18T16:52:10

See below.

First glance tells us that we should consider #(0,0)# as a solution, since both equations equal zero. Let's prove that this is the solution.

#4y=x#

#2x+5y=0#

Plugging in the value for #x#,

#2(4y)+5y=0#

#13y=0# so #y=0#.

From #4y=x#, #4(0)=x# so #x=0#.

Thus, our solution is #(0,0)#.