3(p-q)=10

2(p-q)=7

p=
q=

3p-3q = 10

2p-2q = 7
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Multiply equation 1 by 2.
6p - 6q = 20
Multiply equation 2 by 3.
6p - 6q = 21
Subract equation 2 from equation 1.
0 = -1
This system of equations has no solution. They are parallel lines.

Check my work. Check my thinking.