# System of equation in two variables with extra pack

Algebra Level pending

$x + (1 + k)y = 0$

$(1 - k)x + ky = 1 + k$

$(1 - k)x + ky = 1 + k$

In the above system of equations, $$x = \frac{a}{b}$$ and $$y = \frac{-c}{d}$$, where a, b, c and d are positive integers. Find the value of the sum $$a + b + c +d +k$$.

Details and assumption:

$$\frac{a}{b}$$ and $$\frac{-c}{d}$$ are in lowest term.

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