**We'd start
Cramer's Rule by finding
D:**

**and we'd get
stuck with**

and |

** BIG TROUBLE!**

**So, this all ties
together!**

**If the
determinant of the coefficient matrix is zero, then the system
does not have a nice (
x , y
) solution. (Remember
that the lines could be parallel, or they could be the same
line.) AND, if the determinant of a matrix is zero, then
the matrix does not have an inverse... So, we can't get a
nice ( x ,
y )
solution!**

**YOUR TURN:**

**(and be
sure to do a quick check on the determinant before you
start in on the inverse):**

**Use inverse
matrices to solve:**

**Use inverse
matrices to solve:**