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Exact Equations & Substitutions · Medium problem

The equation y′=2x−y+1x+y−4y' = \dfrac{2x - y + 1}{x + y - 4} becomes homogeneous after the shift x=X+hx = X + h, y=Y+ky = Y + k, where (h,k)(h, k) is the point where the lines 2x−y+1=02x - y + 1 = 0 and x+y−4=0x + y - 4 = 0 meet. Find h+kh + k.