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# system

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

p - 2q = 3

q - 2r = -2 + q

p + r = 9 + p

May 20, 2023

#1
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There is a mistake in your question. Check it carefully and re-submit it.

May 20, 2023
#2
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Find the ordered triple (p,q,r) that satisfies the following system:

p - 2q = 3

q - 2r = -2 + q

p + r = 9 + p

We'll identify the three equations as equations 1, 2, and 3.

p - 2q = 3           (eq 1)

q - 2r = -2 + q     (eq 2)

p + r = 9 + p        (eq 3)

by (eq 3)                                              p + r  =  9 + p

subtract p from both sides                         r  =  9

by (eq 2)                                            q – 2r  =  –2 + q

subtract q from both sides                      –2r  =  –2

divide both sides by –2                               r  =  1

If the system is to be true, then

r cannot be equal to both 9 and 1,

so there must be something wrong

with the problem as stated.                   cannot be solved

.

May 20, 2023