00:01
Here we have the determinant of the matrix, 5x negative 3 -2, is equal to 6.
00:08
Okay, while to solve for x, let's first find out what the value of this determinant is.
00:14
So we have the determinant of 5x negative 3 -2.
00:18
So we have a 2x2 matrix, so therefore the determinant is going to be, well, 5 times 2, the product of the main diagonal, subtracting off the product of this diagonal.
00:30
So minus a negative 3 times x.
00:35
Okay, so we have 5 times 2, which is 10 minus a negative 3x.
00:41
So that's 10 plus 3x.
00:44
Okay, so the value of this determinant is 10 plus 3x, but then that is equal to 6, right? so now we just have a nice linear equation.
00:53
We can go ahead and solve...