Question 863760
I think you mean Cramer's rule.
{{{(matrix(2,2,3,-6,2,3))*(matrix(2,1,1/x,1/y))=(matrix(2,1,1/6,1/2))}}}
{{{A =(matrix(2,2,3,-6,2,3))}}}
{{{Ax=(matrix(2,2,1/6,-6,
                  1/2,3))}}}
{{{Ay=(matrix(2,2,3,1/6,
                  2,1/2))}}}
.
.

{{{abs(A)= 21  }}}
{{{abs(Ax)= 7/2}}}
{{{abs(Ay)= 7/6}}}
.
.

{{{1/x=abs(Ax)/abs(A)= 1/6}}}
{{{x=6}}}
.
.

{{{1/y=abs(Ay)/abs(A)= 1/18}}}
{{{y=18}}}