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Find the solution set of the equation. (If your answer is dependent, use the parameters s and t as necessary. If there is no solution, enter NO SOLUTION.) 5x9y = 0 [x, y] =

Find the solution set of the equation. (If your answer is dependent, use the parameters s and t as necessary. If there is no solution, enter NO SOLUTION.) 5x9y = 0 [x, y] =

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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Find the solution set of the equation. (If your answer is dependent, use the parameters s and t as necessary. If there is no solution, enter NO SOLUTION.) 5x9y = 0 [x, y] =
Transcribed Image Text:Find the solution set of the equation. (If your answer is dependent, use the parameters s and t as necessary. If there is no solution, enter NO SOLUTION.) 5x9y = 0 [x, y] =
Expert Solution
Step 1

Given equation 

5x - 9y = 0

There is only one equation with two variables (unknowns)

So clearly this equation has infinitely many solutions 

We can write given equation 5x - 9y = 0 as

x = (9/5) y

i.e., x = 1.8y 

Substitute y = s then 

x = 1.8s

So we get 

(x,y) = (1.8s, s)

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