62707-8.7-4YT.docx - <TO-DETERMINE> To calculate The solution x y 2 z 5 2 x y z 6 2 x 2 y 2 z 3 for the system by the Cramer\u2019s rule of equations

62707-8.7-4YT.docx - <TO-DETERMINE> To calculate The...

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<TO-DETERMINE> To calculate: The solution for the system of equations 2 5,2 6,2 2 2 3 x y z x y z x y z by the Cramer’s rule. </TO-DETERMINE> <ANSWER> Solution: The solution for the system of equations 2 5,2 6,2 2 2 3 x y z x y z x y z is 9 11 5 , , 2 2 2 . </ANSWER> <EXPLANATION> Given information: The system of equation as below: 2 5 2 6 2 2 2 3 x y z x y z x y z Formula used: By the Cramer’s rule for 3 3 systems, the solution of the system of equations: 1 1 1 1 2 2 2 2 3 3 3 3 a x b y c z d a x b y c z d a x b y c z d The solution is found by the determinants as below:
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1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3 3 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3 3 ,D ,D x y z a b c d b c D a b c d b c a b c d b c a d c a b d D a d c a b d a d c a b d It is unique, is as below: , , y x z D D D x y z D D D This formula applies only if 0 D .
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