Find an ordered pair (u,v) that solves the system

5u = -7 + 2v

3u = 5v - 25

Multiply the fist equation by 3, this gives us:

15u = -21 + 6v

Multiply the second equation by 5, this gives us:

15u = 25v - 125

Subtract those equations.

That gives us:

19v = 104

v = 104/19

Plug it in...

u = 15/19

(15/19, 104/19)

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