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March 27, 2017

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what is the solution of the system of equations.

2x+2y+3z=-6
3x+5y+4z=3
2x+3y+4z=-10

  • algebra - ,

    (x,y,z) = (5,4,-8)

  • algebra - ,

    is there away to show your work

  • algebra - ,

    sure. One way is to do elimination by adding and subtracting multiples of one equation from another.

    subtract 2*second from 3*first:
    6x+6y+9z = -18
    6x+10y+8z = 6
    -----------------
    -4y + z = -24

    subtract first from third
    -y - z = 4

    now add those two to get

    -5y = -20
    y=4
    so, z=-8 and x=5

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