Solve the system x1 x2 5x3 4 5x1 6x2 3x35 2x1 54x338 x1 x2

Solve the system {x_1 -x_2 +5x_3 = 4 5x_1 -6x_2 +3x_3=5 2x_1 +54x_3=38 [x_1 x_2 x_3] = [__________ _____________ _________]+[__________ _____________ _________]s.

Solution

solution

x1-x2+5x3=4 (1)

5x1-6x2+3x3=5 (2)

2x1+54x3=28 (3)

eq 1 multiply by 6 and substract eq 1 in to eq 2

6x1-6x2+30x3=24

-(5x1-6x2+3x3=5)

x1+33x3=19 (4)

mutliply by 2

2x1+66x3=38 substracr eq 3 in this eq.

-(2x1+54x3=28)

12x3=10

x3=5/6

x1=-17/2

x2= -17/2-4+25/6

x2= (-51-24+25)/6= -50/6