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System Of Equations; Ordered Triples?

Solve the system of equations, Write the solution as an ordered triple. Simplified Form.

X,Y,Z =

Question 1:

x+y+z= 6

2x+4y+2z= 24

-x+8y-3z= 36

4 Answers

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  • Jon P
    Lv 4
    1 decade ago
    Favorite Answer

    add first and third

    9y - 2z = 42

    multiply 3rd by 2

    -2x + 16y - 6z = 72

    2x + 4y + 2z = 24

    add the 2 above

    20y - 4z = 96

    (9y - 2z = 42) (-2)

    -18y + 4z =-84

    20y - 4z = 96

    2y = 12

    y = 6

    20(6) - 4z = 96

    -4z = -24

    z = 6

    x + 6 + 6 = 6

    x = -6

    (-6,6,6)

  • Anonymous
    1 decade ago

    Turn X, Y, Z a single variable like n.

    x + y + z = 6 2x + 4y + 2z = 24 -x + 8y - 3z = 36

    n + n + n = 6 2n + 4n + 2n = 24 -n + 8n - 3n = 36

    3n = 6 8n = 24 4n = 36

    n = 2 n = 3 n = 9

  • Anonymous
    1 decade ago

    X=-6

    Y=6

    Z=6

  • 5 years ago

    from3 1)letx =-19+3y-2 &&thenbut it 1 7(-19+3y-2z)-y+z=-39 -133+21y-14z-y+z=-39 20y-13z=94# but&&in2 2(-19+3y-2z)+2y-3z=-4 -38+6y-4z+2y-3z=-4 8y-7z=34## from# y=(94+13z)/20 but this in## 8[(94+13z)/20]-7z=34 188/5+26z/5-7z=34 -9z/5=-18/5 z=2then y=6,x=-5 2) make like 1

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