Differential Equations and Linear Algebra (4th Edition)

Published by Pearson
ISBN 10: 0-32196-467-5
ISBN 13: 978-0-32196-467-0

Chapter 2 - Matrices and Systems of Linear Equations - 2.3 Terminology for Systems of Linear Equations - Problems - Page 145: 8

Answer

No solution

Work Step by Step

On the xy plane, the red color line represents $x + 4y = 8$, the blue color line represents $3x + y = 3$, the green line represents $2x + 8y = 8$ The red and blue intersect at just one point $(0.364,1.909)$. On the other side, the blue and green lines intersect at another point $(0.727,0.818)$. The red and green lines are parallel. Hence the system has no solution.
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