SOLUTION: Solve for X ( 2x2 matrix ) {{{(matrix(2,2,6,9,11,5))*X+(matrix(2,2,2,-7,-15,15))=(matrix(2,2,2,3,4,5))*X}}}

Get terms in matrix X on the left and other matrix terms on the right:



Factor X out on the right



Subtract the two matrices in parentheses:



Simplify



Now we must find the inverse of the matrix 

To find the inverse of a 2x2 matrix:

1. Calculate the determinant by the rule:

upper left element times lower right element minus
upper right element times lower left element

2. Exchange the upper left and lower right elements.

3. Change the signs of the upper right and lower left elements.

4. Divide each element by the value of the determinant found
   in step 1.


Find the determinant of 


1. (4)(-1)-(6)(7) = -4-42=-46

2. 
 
3. 

4. , simplifying,



Now take the equation



and left-multiply both sides by this inverse matrix:



Do the matrix multiplication.  I assume you know how. If not post again,
asking how.





Edwin