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This is a system of equations:

-x + 5y = 10

-5x + 2y = 27

Multiply the first equation by 5.

-5x + 25y = 50

Subtract the 2 equations:

23y = 23

Solve:

y = 1

-x + 5(1) = 10

-x = 5

x = -5

Thus, the ordered pair is (-5, 1).

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