00:02
Okay, i want to solve the system.
00:05
In order to do that, i'm going to rewrite my second equation in terms of one variable.
00:12
So i'm just going to say that this equation can be rewritten x equals 2 over y.
00:19
I'm going to take that and put it into my top equation for x.
00:26
So now i count y squared equals 5, not x squared anymore, but 2 over y squared.
00:33
Plus one.
00:37
That's y squared equals five times four over y squared plus one.
00:47
So y square equals now 20 over y square plus one.
00:55
I'm going to get rid of that fraction.
00:58
I'm going to multiply all terms both sides by y square.
01:03
So let's see where that is going to take me.
01:10
Now i have y to the fourth equal to 20 plus y square...