5. If the following system has non-trivial solution, px + qy+rz = 0 qx+ry + pz = 0 rx+py + qz = 0, then which one of the following options is TRUE? a. p-q+r oor p = q = -r b. p q r o or p=-q=r c. p+q+ro or p=q=r d. p q+ro or p=-q=-r 9 6. 1 a b+c The value of determinant 1 b c+a 1 с a+b a. 0 b. 1 C. a+b+c d. 3 7. If then the value of x is: a. ± 6 b. ± 7 C. ± 5 d. ± 4 8 | 2x 5| = |9 -² 16 3 Page

Last year, at Haven's Pond Car Dealership, for a particular model of BMW, Jeep, and Toyota, one could purchase all three cars for a total of $140,000. This year, due to inflation, the same cars would cost $151,830. The cost of the BMW increased by 8%, the Jeep by 5%, and the Toyota by 12%. If the price of last year's Jeep was $7,000 less than the price of last year's BMW, what was the price of each of the three cars last year?