Explanation Given Information: 4 x − 5 y − 6 z = − 1 x − 2 y − 5 z = − 12 2 x − y = 7 Formula Used: According to Cramer’s rule x = D x D , y = D y D , z = D z D D , is the determinant in every one of the two denominators comprise of x-y-z co-efficient. D x , is the determinant in the numerator for x obtained by replacing the x -co-efficient in D with the constants on the right side of the equation. D y , is the determinant in the numerator for y obtained by replacing the y -co-efficient in D with the constants on the right side of the equation. D z , is the determinant in the numerator for z obtained by replacing the z -co-efficient in D with the constants on the right side of the equation. Calculation: According to Cramer’s rule x = D x D , y = D y D , z = D z D . As D = | 4 − 5 − 6 1 − 2 − 5 2 − 1 0 | D x = | − 1 − 5 − 6 − 12 − 2 − 5 7 − 1 0 | D y = | 4 − 1 − 6 1 − 12 − 5 2 7 0 | D z = | 4 − 5 − 1 1 − 2 − 12 2 − 1 7 | Calculate the four determinants

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ISBN: 9780134469140

Author: Robert F. Blitzer

Publisher: PEARSON

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Chapter 8.5, Problem 31PE

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To calculate: The solution of the system of equations 4x−5y−6z=−1,x−2y−5z=−12,2x−y=7 using Cramer’s rule.

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Chapter 8.5, Problem 30PE

Chapter 8.5, Problem 32PE

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Chapter 8 Solutions

Precalculus (6th Edition)

Ch. 8.1 - Check Point 1 Write the augmented matrix for the...Ch. 8.1 - Check Point 2 Use the matrix ...Ch. 8.1 - Check Point 3 Use matrices to solve the system:...Ch. 8.1 - Check Point 4 Use matrices to solve the system:...Ch. 8.1 - Check Point 5 Solve the system in Check Point. 3...Ch. 8.1 - Prob. 1CVC Ch. 8.1 - Fill in each blank so that the resulting statement...Ch. 8.1 - Prob. 3CVC Ch. 8.1 - Prob. 4CVC Ch. 8.1 - Fill in each blank so that the resulting statement...

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The solution of the system of equations 4 x − 5 y − 6 z = − 1 , x − 2 y − 5 z = − 12 , 2 x − y = 7 using Cramer’s rule.

Solution Summary: The author calculates the solution of the system of equations 4x-5y-6z =-1,x-2y-5z=-12,2x-y=7 using Cramer’s rule.

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To calculate: The solution of the system of equations 4x−5y−6z=−1,x−2y−5z=−12,2x−y=7 using Cramer’s rule.

Want to see the full answer?

Chapter 8 Solutions