First step, let's call the sum of all unknowns as k.
Then the system becomes:
Second step, add up all equations to get:
- k + 5k = 6 + 12 + 24 + 48 + 96
- 6k = 186
- k = 31
Last step, substitute the value of k back into secondary equations and find each unknown:
- x₁ = - 25
- x₂ = - 19
- x₃ = - 7
- x₄ = 17
- x₅ = 65