24 Use Gaussian elimination to find the complete solution to the following system of equations, or show that none exists.5x₁ + 12x₂ + 5x3 = 142x₁ + 5x2 + 4x3 = -2X₁ + 2x₂ 3x3 = 8Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.A. The unique solution is x₁ = x₂ =, and x3=B.x₂ =and x3 = t."The system has infinitely many solutions. The solution is x₁ =(Simplify your answer. Type an expression using t as the variable.)OC. The system has infinitely many solutions. The solution is x₁ = x₂ = S, and x3 = t."(Simplify your answer. Type an expression using s and t as the variables.)D. There is no solution.

Use Gaussian elimination to find the complete solution to the following system of equations, or show that none exists. 5x₁ + 12x₂ + 5x3 = 14 2x₁ + 5x2 + 4x3 = -2 X₁ + 2x2 - 3x3 = 8 Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. A. The unique solution is x₁ = ₁ × ₂ = 1 and X3 = 3 B. The system has infinitely many solutions. The solution is x₁ = , X₂ =, and x₂ = t. (Simplify your answer. Type an expression using t as the variable.) C. The system has infinitely many solutions. The solution is x₁ = x₂ = S, and x3 = t. (Simplify your answer. Type an expression using s and t as the variables.) D. There is no solution.