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Equations & Systemsmedium
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Consider the system of equations: {x−y=22x+ky=6\begin{cases} x - y = 2 \\ 2x + ky = 6 \end{cases}{x−y=22x+ky=6​ For which values of the constant kkk does the system have a unique solution (x,y)(x, y)(x,y) with both x>0x > 0x>0 and y>0y > 0y>0?