Question 112483
I'm going to assume that you can evaluate a 2X2 determinant.  If you can't, write back and we'll talk about that.


{{{D=(matrix(2,2,1,2,-3,1))=(1)-(-6)=7}}}  (A 2X2 matrix consisting of the coefficients)


{{{D[x]=(matrix(2,2,5,2,11,1))=(5)-(22)=-17}}}  (The 2X2 matrix from above, replacing the x coefficients with the constant values)


{{{D[y]=(matrix(2,2,1,5,-3,11))=(11)-(-15)=26}}}  (The 2X2 matrix from above, replacing the y coefficients with the constant values)


Cramer's Rule says, {{{x=D[x]/D}}} and {{{y=D[y]/D}}}, so {{{x=-17/7}}} and {{{y=26/7}}}