Question 162532

{{{(matrix(2,2,3,4,-3,-2))(matrix(2,2,x[1],x[2],x[3],x[4]))=(matrix(2,2,10,-10,-8,8))}}}
First find the inverse of your first matrix, which we'll call [A].
[A]={{{(matrix(2,2,3,4,-3,-2))}}}
and the inverse of A called [A]inv. 
[A]inv={{{(1/6)*(matrix(2,2,-2,-4,3,3))}}}
and then matrix multiply both sides to solve for [X]. 
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The problem would then look like this,
[A][X]=[B]
[A]inv[A][X]=[A]inv[B]
[I][X]=[A]inv[B]
[X]=[A]inv[B]
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So we do the matrix multiplication,
[X]={{{(1/6)*(matrix(2,2,-2,-4,3,3))*(matrix(2,2,10,-10,-8,8))}}}
[X]={{{(matrix(2,2,2,-2,1,-1))}}}