# Question: suppose that x1 c1 xn cn...

###### Question details

Suppose that x1 = c1, ... , xn = cn and x1 = d1, ... , xn = dn are both solutions of the linear system, and t is a real number.

Show that x1 = tc1+(1−t)d1, ... , xn = tcn+(1−t)cn is also a solution to system