Solve the system of equations using Cramer's Rule. (If there is no solution, enter NO SOLUTION. If there are infinitely many solutions, enter INFINITELY MANY.) 2y + 3z = −3 5x + 3y = −9 8x + z = 1 (x, y, z) =
Solve the system of equations using Cramer's Rule. (If there is no solution, enter NO SOLUTION. If there are infinitely many solutions, enter INFINITELY MANY.) 2y + 3z = −3 5x + 3y = −9 8x + z = 1 (x, y, z) =
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter6: Matrices And Determinants
Section: Chapter Questions
Problem 6T: Use Gaussian elimination to find the complete solution of the system, or show that no solution...
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Question
Solve the system of equations using Cramer's Rule. (If there is no solution, enter NO SOLUTION. If there are infinitely many solutions, enter INFINITELY MANY.)
2y | + | 3z | = | −3 |
5x | + | 3y | = | −9 |
8x | + | z | = | 1 |
(x, y, z) =
Expert Solution
Step 1 Solution
Determinant of matrix
= 0(3-0)-2(5-0)+3(0-24) = -10 -72
= - 82
Now we replace First column with right side(-3, -9 , 1) value which is given in question
= 0
Now we replace second column with right side(-3, -9 , 1) value which is given in question
= 246
Now we replace third column with right side(-3, -9 , 1) value which is given in question
= -82
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