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y + x = 9

10y + 20x = 100

This is a basic linear system of equalities. We can start by rewriting the first equation as:

-10y - 10x = -90 by multiplying the equation by -10, from here we can eliminate y and solve for x

(-10y - 10x = -90) + (10y + 20x = 100) = (10x = 10)

This yields x = 1, and by plugging x into the first equation y = 8

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