(a) Solve the simultaneous equations 3y - 2x = 21 ; 4y + 5x = 5.
(b) Six identical cards numbered 1 - 6 are placed face down. A card is to be picked at random. A person wins$60.00 if he picks the card numbered 6. If he picks any of the other cards, he loses$10.00 times the number on the card. Calculate the probability of (i) losing ; (ii) losing$20.00 after two picks.