Question

Let u =⟨2,−5⟩, v =⟨−1,1⟩, and w =⟨−2,4⟩. Find the vector x that satisfies

2u −v +x =10x +w.

Answer 1

2u=(4,10)
Let x=(a,b)
2u-v+x=(4,-10)-(-1,1)+(a,b)=(4+1+a,-10-1+b)
10x+w=(10a,10b)+(-2,4)=(10a-2,10b+4)
now equate and find a,b

Answer 2

is it not that 2u-v +x= 10x+w, then 9x= 2u-v-w? and then x= (1/9) (2u-v-w) ?