Question

If a(0,-1,3)+b(1,1,1)-c(1,2,5)=(-2,3,-8), determine a,b,c

Is this the correct answer: a= -4, b= -3, c= -1?

Answer 1

0a+1b-1c = -2
-a+1b-2c = 3
3a+1b-5c = -10

has solutions (-4,-3,-1).

Is there a typo in your question?

As written, the solutions are (-26/7, -23/7, -9/7)