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1 July, 18:01

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

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  1. 1 July, 21:55
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    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
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