00:01
We need to solve the following system by first eliminating the x's and then eliminating the y's.
00:07
So we're first going to eliminate the xes.
00:10
So we're going to multiply the top equation by 5, the bottom equation by negative 3.
00:16
So we get 15x minus 5y is equal to negative 40.
00:22
We get negative 15x minus 9y is equal to negative 6.
00:30
So 5 and 9 add up to b.
00:35
Negative 14y is equal to negative 46.
00:40
46 divided by 14 reduces 2.
00:46
Y is equal to 23 over 7.
00:50
We plug that back in.
00:52
We get 3x minus 23 over 7 is equal to negative 8.
00:57
We add 237 to both sides, so negative 8 plus 23 divided by 7.
01:05
It comes out to be 3x is equal to 9.
01:09
Negative 33 over 7.
01:11
We divide by 3, and we get x is equal to negative 11 over 7.
01:20
So our solution is negative 11 over 7, 23 over 7.
01:25
The second one, we're going to get rid of the eliminate the y's.
01:29
So we're going to multiply by 3 on our top equation.
01:32
So we get 9x minus 3y is equal to negative 24...