Question 14 The augmented matrix is given for a system of equations. If the system is consistent, find the general solution. Otherwise state that there is no solution. [158-1 25 000-4 34 000 0-2 8 O x1 = -5x2 - 8x3 + x4 - 2x5 +5 x2 is free x3 is free X4 = x5-1 X5 = -4 O x1 = -5x2 - 8x3 + 9 x2 is free x3 = -4 X4 = = ²³ x5 x5-1 x5 = -4 O x1 = -5x2 - 8x3 +9 x2 is free x3 is free X4 = -4 X5 = -4 O No solution ↑

Question 14 The augmented matrix is given for a system of equations. If the system is consistent, find the general solution. Otherwise state that there is no solution. [158-1 25 000-4 34 000 0-2 8 O x1 = -5x2 - 8x3 + x4 - 2x5 +5 x2 is free x3 is free X4 = x5-1 X5 = -4 O x1 = -5x2 - 8x3 + 9 x2 is free x3 = -4 X4 = = ²³ x5 x5-1 x5 = -4 O x1 = -5x2 - 8x3 +9 x2 is free x3 is free X4 = -4 X5 = -4 O No solution ↑

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter11: Systems Of Equations

Section11.CT: Test

Problem 14CT

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Similar questions

Solve: {4x3z=53y+2z=73x+4y=6 .
Let A=[1235], X=[x1x2] and B=[412], Show that the equation AX=B represents a linear system of two equations in two unknowns. Solve the system and substitute into the matrix equation to check you results.
Write each system of linear equations as an augmented matrix: (a) {3x+8y=32x=5y3 (b){2x5y+3z=83xy+4z=7x+3y+2z=3

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