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2. Consider the system r + ay 4 ax + 9y = b For which pair of values of (a, b) does the system have more than one solution? (a) (3, 12) (b) (3, -12) (c) (9,4) (d) (9, -4)

2. Consider the system r + ay 4 ax + 9y = b For which pair of values of (a, b) does the system have more than one solution? (a) (3, 12) (b) (3, -12) (c) (9,4) (d) (9, -4)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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2. Consider the system x + ay = 4 ax + 9y For which pair of values of (a, b) does the system have more than one solution? (a) (3, 12) (b) (3, -12) (c) (9,4) (d) (9, -4)
Transcribed Image Text:2. Consider the system x + ay = 4 ax + 9y For which pair of values of (a, b) does the system have more than one solution? (a) (3, 12) (b) (3, -12) (c) (9,4) (d) (9, -4)
Expert Solution
Step 1

The given system is-

x + ay = 4

ax + 9y = b

(A) When (a,b) = (3,12)

We get the following system-

x + 3y = 4........(1)

3x + 9y = 12........(2)

Dividing  equation (2) by 3 we get-

x + 3y = 4 which is same as the equation (1)

Therefore both the equations are same and hence will give infinite number of solutions

Hence when (a,b) = (3,12) the system give more than one solution.

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