Use the gauss-Jordan method to solve the system of equations x+y-5z=-68 2x-y+3z=19 x-2y+2z=-15

Let's solve for x.

xxy-5z=-68

Step 1: Add 5z to both sides.

x2y-5z+5z=-68+5z

x2y=5z-68

Step 2: Divide both sides by y.

x2yy=5z-68y

x2=5z-68y

Step 3: Take square root.

x=√5z-68y or x=-√5z-68y

Answer:

x=√5z-68y or x=-√5z-68y

Let's solve for x.

2x-y+3z=19

Step 1: Add y to both sides.

2x-y+3z+y=19+y

2x+3z=y+19

Step 2: Add - 3z to both sides.

2x+3z+-3z=y+19+-3z

2x=y-3z+19

Step 3: Divide both sides by 2.

2x2=y-3z+192

x=12y+-32z+192

Answer:

x=12y+-32z+192

Let's solve for x.

x-2y+2z=-15

Step 1: Add 2y to both sides.

x-2y+2z+2y=-15+2y

x+2z=2y-15

Step 2: Add - 2z to both sides.

x+2z+-2z=2y-15+-2z

x=2y-2z-15

Answer:

x=2y-2z-15