# 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 $\Delta$.
Now find the value of another determinant ${\Delta}_{1}$, where, in the first column, in place of coefficients of x, write the constant terms from the equations. The second column elements remain the same.
Now find ${\Delta}_{1} / \Delta$. This gives you the value of x.
Similarly find the value of a determinant ${\Delta}_{2}$, where in place of the coefficients of y in the second column, write down the constant terms. The first column elements are the coefficients of x. Now find ${\Delta}_{2} / \Delta$. This is the value of y.