If a,b,c are non – zero real numbers and if the system of equations(a – 1) x = y + z(b – 1) y = z + x(c – 1) z = x + yHas a non – trivial solution, then prove that ab + bc + ca = abc.

If a,b,c are non – zero real numbers and if the system of equations

(a – 1) x = y + z
(b – 1) y = z + x
(c – 1) z = x + y
Has a non – trivial solution, then prove that ab + bc + ca = abc.

Mixed-up sentence exercise

Put the parts in order to form a sentence. When you think your answer is correct, click on "Check" to check your answer. If you get stuck, click on "Hint" to find out the next correct part.