Lets turn the last equation into something x equals.
x = y - 10.
y = -4(y - 10) + 5
y = -4y + 40 + 5
y = -4y + 45
-5y = -45
y = 9
9 = -4x + 5
0 = -4x - 4
4x = -4
x = -1
The pair is (-1, 9) (x = -1, y = 9)
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