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Solve using matrices. - 0.03x + 0.7y - 0.763 0.1x - 0.3y + 0.36z = 0.019 52x + 5y - 48z = - 8.360 The solution is (, ). (Type your answer as an ordered triple. Round to the nearest hundredth.)

Solve using matrices. - 0.03x + 0.7y - 0.763 0.1x - 0.3y + 0.36z = 0.019 52x + 5y - 48z = - 8.360 The solution is (, ). (Type your answer as an ordered triple. Round to the nearest hundredth.)

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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### Solving a System of Equations Using Matrices This example demonstrates how to solve a system of linear equations with three variables using matrix methods. #### Given System of Equations: 1. \(-0.03x + 0.7y = -0.763\) 2. \(0.1x - 0.3y + 0.36z = 0.019\) 3. \(52x + 5y - 48z = -8.360\) #### Instructions: - Find the values of \(x\), \(y\), and \(z\) that satisfy all three equations. - Use matrix methods (such as Gaussian elimination or matrix inversion) to solve. - Round your answer to the nearest hundredth. #### Solution Format: The solution is represented as an ordered triple: \(( \, \_ \, , \, \_ \, , \, \_ \, )\). Fill in the blanks with the calculated values of \(x\), \(y\), and \(z\). *(Type your answer in the spaces provided as an ordered triple. Round to the nearest hundredth.)*
Transcribed Image Text:### Solving a System of Equations Using Matrices This example demonstrates how to solve a system of linear equations with three variables using matrix methods. #### Given System of Equations: 1. \(-0.03x + 0.7y = -0.763\) 2. \(0.1x - 0.3y + 0.36z = 0.019\) 3. \(52x + 5y - 48z = -8.360\) #### Instructions: - Find the values of \(x\), \(y\), and \(z\) that satisfy all three equations. - Use matrix methods (such as Gaussian elimination or matrix inversion) to solve. - Round your answer to the nearest hundredth. #### Solution Format: The solution is represented as an ordered triple: \(( \, \_ \, , \, \_ \, , \, \_ \, )\). Fill in the blanks with the calculated values of \(x\), \(y\), and \(z\). *(Type your answer in the spaces provided as an ordered triple. Round to the nearest hundredth.)*
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