00:01
We can find the solution to this system of linear equations using kramer's rule.
00:05
So using kramer's rule, we're going to find x as d -x over d, and we're going to find y as d -y over d.
00:13
So we're going to find the value of d first, and that's going to be this little 2 -2 matrix, where the first column is the coefficients of the x values, and the second column is the coefficients of the y values.
00:25
And if we call these values a, b, c, d, then we can find the value of this determinant by multiplying a and d and then subtracting the product of b and c.
00:38
So that'll be 1 times negative 1 minus 2 times 1.
00:44
So that's negative 1 minus 2 or negative 3.
00:47
So our value for d is negative 3.
00:49
Then we're going to find d of x.
00:51
We're going to make another 2 by 2, but this time we're going to replace that first column...