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avatar+1250 

Find the ordered triple (p,q,r) that satisfies the following system:

p - 2q = 3

q - 2r = -2 + q

p + r = 9 + p

 Jan 24, 2025

Best Answer 

 #2
avatar+130317 
+1

No solution

 

If

q - 2r  = -2 + q

Then

-2r = -2

r =1      (1)

 

If r =1

Then 

p + r = 9 + p

r = 9

 

Which contradicts  (1)

 

 

cool cool cool

 Jan 24, 2025
 #1
avatar+1016 
0

The solution is (p,q,r) = (-4,5,8).

 Jan 24, 2025
 #2
avatar+130317 
+1
Best Answer

No solution

 

If

q - 2r  = -2 + q

Then

-2r = -2

r =1      (1)

 

If r =1

Then 

p + r = 9 + p

r = 9

 

Which contradicts  (1)

 

 

cool cool cool

CPhill Jan 24, 2025

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