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.