Question 632350
  <pre><font face = "Tohoma" size = 3 color = "indigo"><b> 
Hi, re TY, note highlighted.  
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Solve the system of equations by using the inverse of the coefficient matrix.
 x+6y=-16 
-5x+6y=8 
{{{A = (matrix(2,2,a1,b1,a2,b2)) = a1b2-b1a2}}}                                  
{{{A =( matrix(2,2,1,6,-5,6))}}} = {{{highlight(36)}}}
{{{A^(-1) = (1/(a1b2 - b1a2))(matrix(2,2,b2,-b1,-a2,a1))}}}
{{{A^(-1) = (1/36)(matrix(2,2,6,-6,5,1))= (matrix(2,2,6/36,-6/36,5/36,1/36)) }}}

and...
{{{(matrix(2,1,x,y))= (matrix(2,2,6/36,-6/36,5/36,1/36))(matrix(2,1,-16,8))= (matrix(2,1,-4,-2)) }}}