Use matrices to solve the system of equations (if possible). Use Gaussian elimination with back-substitution. (If not possible, enter IMPOSSIBLE. If the system is dependent, set y a and solve for x in terms of a.) 2x 6y = 2x 3y -11 -8 (х, у) %3D

College Algebra (MindTap Course List)
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ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.CT: Chapter Test
Problem 10CT
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Use matrices to solve the system of equations (if possible). Use Gaussian elimination with back-substitution. (If not possible, enter IMPOSSIBLE. If the system is dependent, set y
a and
solve for x in terms of a.)
2x 6y =
2x 3y -11
-8
(х, у) %3D
Transcribed Image Text:Use matrices to solve the system of equations (if possible). Use Gaussian elimination with back-substitution. (If not possible, enter IMPOSSIBLE. If the system is dependent, set y a and solve for x in terms of a.) 2x 6y = 2x 3y -11 -8 (х, у) %3D
Expert Solution
Step 1

We need to solve the system of equations by Gaussian Elimination with back substitution.

Calculus homework question answer, Step 1, Image 1
Step 2

Now, writing the augmented matrix for the system of linear equations

2611
-8
2 3
We will perform row reduction on this matrix to obatin the value of y
R2R1-R2 [2 6-81
Lo 3
3
R2
R2
-81
3 [2
R1
1 3
Lo 1
R1
From the above matrix, we can write the following equations
х+ Зу %3D — 4
-- (1)
and,
y =1
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