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4 January, 15:07

6x - 3y + 2z = - 30

6x + 5y=-4

-6z = - 18

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Answers (2)
  1. 4 January, 15:37
    0
    x = 251/765, y = 698/85, z = 7/3
  2. 4 January, 16:17
    0
    Our solution set is (x, y, z) = (-4,4,3)

    Step-by-step explanation:

    Basically you take a look at the first equation it has the variable z, to find z we would have to solve for the 3rd equation which is:

    -6z=-18

    we divide both sides by - 6 to isolate z (that is - 6z/-6 which cancel out 6 and we are left with z and on the other side of equal sign we divide the - 18 by - 6 and we get 3 as our answer.

    Now that we know z=3 We plug it's value for equation 2 i. e. 6x-3y+2z=-30

    which becomes 6x+5y + (2*3) = -30

    6x+5y+6=36 (now we have to combine 6 with the other number - 30. so we are left with variable one side and number on the other. to do this we subtract 6 from - 36 and you get:

    6x+5y=-36

    Now we solve for equation 2 to get the value of y:

    6x+5y=-4

    you move 6x to other side it becomes negative

    5y=-4-6x

    now you need to isolate y to do this you divide 5 from the equations on the right side.

    so it will look like:

    y = - 4/5-6x/5

    also can write it as y=-6x/5-4/5

    Now we now the value of y so now we can plug it in the 1st equation i. e.

    6x - 3• (-6x/5-4/5) = - 36 (you use distributive property here to distribute it)

    48x/5 = - 192/5

    48x = - 192 (divide 48 from - 192 and you get - 4)

    x = - 4

    Now we now that

    x = - 4

    y=-6x/5-4/5

    z=3

    Now we are going to use x value to solve for y

    y = (-6/5) (-4) - 4/5

    and we get y=4

    Our solution set is (x, y, z) = (-4,4,3)
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