SOLUTION: Solve the system by using the inverse of the coefficient matrix A. 2x + 4y = 5 −x + 3y = −2

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Question 1141158: Solve the system by using the inverse of the coefficient matrix A.
2x + 4y = 5
−x + 3y = −2

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!



Your matrix:




Write the main matrix:





Determinant is not zero, therefore inverse matrix exists:

Calculate the inverse matrix


Multiply the inverse matrix by the solution vector:



Solution set:





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