Question

solve the gauss elimination methad 3x+y-z=3,2x-8y+z=-5,x-2y+9z=8​

Answer 1

Step-by-step explanation:

3x+y-z=3

2x-8y+z=-5

x-2y+9z=8

Answer 2

Answer:

$X=1\\Y=1\\Z=1$

Step-by-step explanation:

   GIVEN equations are

                           $3X+Y-Z=3----(1)\\2X-8Y+Z=-5----(2)\\X-2Y+9Z=8-----(3)$

 SOLUTION:

      From equations (1) and (2)

     adding equation (1)and (2)

     

$=(1)+(2)\\=(3X+Y-Z=3)+(2X-8Y+Z=5)\\=5X-7Y=-2------(4)\\=(2)*9----18X-72Y+98=-45--(5)\\\\\\Equation =(5)-(3)\\\\=17X-70Y=-53---(6)\\\\Multiplying Equation (4)*10\\\\ =50X-70Y=-20---(7)\\\\ Subtracting equation (7)-(6)\\\\=33X=33\\\\=X=1\\\\ When X=1 then ,\\\\=5-7Y=-2\\\\=7Y=7\\\\=Y=1\\\\When X=1 and Y=1 then,\\ \\\\ =3+1-Z=3\\\\ =Z=1$$=(1)+(2)\\=(3X+Y-Z=3)+(2X-8Y+Z=5)\\=5X-7Y=-2------(4)\\=(2)*9----18X-72Y+98=-45--(5)\\\\\\Equation =(5)-(3)\\\\=17X-70Y=-53---(6)\\\\Multiplying Equation (4)*10\\\\ =50X-70Y=-20---(7)\\\\ Subtracting equation (7)-(6)\\\\=33X=33\\\\=X=1\\\\ When X=1 then ,\\\\=5-7Y=-2\\\\=7Y=7\\\\=Y=1\\\\When X=1 and Y=1 then,\\ \\\\ =3+1-Z=3\\\\ =Z=1$

THE values are X=1,Y=1,Z=1

The project code is #SPJ3