Find the solution set of the system of linear equations repr

Find the solution set of the system of linear equations represented by the augmented matrix. Solve the system using either Gaussian with back-substitution or gauss-jordan elimination.

Solution

6)

x₄=-14

x₃+3x₄=-60

=>x₃+3(-14)=-60

=>x₃-42=-60

=>x₃=-60+42

=>x₃=-18

x₂-12x₃+5x₄=142

=>x₂-12(-18)+5(-14)=142

=>x₂+216-70=142

=>x₂=142-216+70

=>x₂=-4

x₁-9x₂+11x₃-15x₄=56

x₁ =56+9x₂-11x₃+15x₄

x₁ =56+9(-4)-11(-18)+15(-14)

x₁ =56-36+198-210

x₁ =8

x₁=8,x₂=-4,x₃=-18,x₄=-14