00:01
So we're going to solve this like any other standard two -step equations.
00:04
So i want to get the same coefficient in front of x squared or in front of x or b, in front of x or y, excuse me, in order to cancel them.
00:17
So i'm going to multiply this by a to get a squared in this equation.
00:22
So this will be a squared x plus a, b, y, and then a times zero will be just zero.
00:30
Let me rewrite the second equation down here.
00:33
Ax squared plus b squared y is 1.
00:39
Okay.
00:40
So i'm going to subtract these two equations.
00:43
When i subtract them, my xs will cancel.
00:46
I'll get a, b, minus b squared.
00:49
All of that quantity times y.
00:52
Zero minus 1 is negative 1.
00:54
So to get y by itself, i could just divide by this entire term.
01:01
So y will end up being, and notice i have a negative one, so i'm going to bring that negative one down.
01:08
When i simplified this, i'll get 1 over b squared minus ab as my y value.
01:15
And now i want to solve for my x value.
01:17
So i'm going to plug in my y value back into this first equation...