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I'm a little stuck on this question:

 

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

p - 2q = 0

q - 2r = 8

p + r = 5

 May 12, 2023
 #1
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(p,q,r) = (-4/3, 2/3, 5/3)

 May 12, 2023
 #2
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p - 2q = 0..........(1)  

q - 2r = 8...........(2) 

p + r = 5.............(3), solve for p, q, r

 

From (1) above, we get: p ==2q

Sub 2q for p in (3) above, and:

 

2q + r ==5...........(4)

q  -  2r==8...........(2)

From these 2 simultaneous equations, we get:

 

q==18/5

r == - 11/5

p==[2 * 18/5] ==36/5

 May 12, 2023

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