Question 18434
Put your equations into AX=B. Then solve for X!
HINT: {{{X=A^-1 *B}}}
So, this is inverse form.
{{{(matrix(2,2,3,-7,-2,4))*(matrix(2,1,x,y))=(matrix(2,1,-16,8))}}}
Since you can't divide by matrices, you must take the inverse of the matrix, in other words, make it to the power of -1.
{{{(matrix(2,1,x,y))=(matrix(2,2,3,-7,-2,4))^-1*(matrix(2,1,-16,8))}}}
Then you can use your calculator to solve
The inverse of {{{(matrix(2,2,3,-7,-2,4))}}}is {{{(matrix(2,2,-2,-3.5,-1,-1.5))}}}
Then you multiply it with the 2x1 matrix
You should end up with {{{(matrix(2,1,4,4))}}} as your final matrix.
So your answer would be x=4, y=4
Hope this helps!