anhthuxnguyen anhthuxnguyen

18-09-2016
Mathematics

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Determine for what values of x and y are the following equalities always true.

(k+1)x-(2k+3)y-3k-5=0

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Kunchan Kunchan

18-09-2016

(k+1)x-(2k+3)y-3k-5=0
kx + x - 2ky - 3y - 3k - 5 = 0
(x - 2y) k + (x - 3y) = 3k + 5

therefore
x - 2y = 3
x - 3y = 5

Subtract 2 equations
y = -2
x = -1

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