How do I use Cramer's rule to solve the system of equations #x+2y=-1# and #2x-3y=5#?
First find out the value of the determinant with the coefficients of x in the first column and coefficients of y in the second column. In this case, the first column elements would be 1 and 2, and second column elements would be 2 and -3. Let the value of this determinant be
Now find the value of another determinant
Similarly find the value of a determinant
Note that when you replace the coefficients of x, you solve for x and when you replace the coefficients of y, you solve for y.