SOLUTION: Solve the system of equations by using the inverse of the coefficient matrix. X+2y=4 2x-3y=1

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 Question 567404: Solve the system of equations by using the inverse of the coefficient matrix. X+2y=4 2x-3y=1Answer by Edwin McCravy(8909)   (Show Source): You can put this solution on YOUR website!``` Write as the 2x2 coefficient matrix multiplied by the 2x1 variable matrix and set it equal to the 2x1 constant matrix: = To find the inverse of the 2x2 coefficient matrix: 1. Swap the upper left and lower right emements: 2. Change the signs of the upper right and lower left elements: 3. Calculate the determinant, either of the original matrix or the one that is the result of step 3 for their determinants are the same: original matrix's determinant: (1)(-3)-(2)(2) = -3-4 = -7 step 3 matrix;s determinant: (-3)(1) - (-2)(-2) = -3-4 = -7 4. Divide each term in the matrix by the value of the determinant: Left-multiply both sides of the matrix equation by this inverse: = = = = = = = x=2, y=1 Edwin```