Mathematics OpenStudy (anonymous):

Show that if the linear equations x1 + kx2 = c and x1 + lx2 = d have the same solution set, then the equations are identical. OpenStudy (dumbcow):

Let x2 = 0, then solution is (x1,0) x1 = c x1 = d --> c = d Now let x1 =0, then solution is (0,x2) kx2 = c lx2 = d however c=d, kx2 = lx2 --> k = l Since the constants are shown to be equal, the equations are identical

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