SOLUTION: -3x+6z=-3 6x+5y=-3 -y+5z=-13

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Question 1152656: -3x+6z=-3
6x+5y=-3
-y+5z=-13
Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
.............1)
.............2)
.............3)
---------------------------------

.............1)........both sides multiply by
.............2)
----------------------------------------------

.............1)
.............2)
------------------------------------------add


..........solve for

........1a)


.............3).........solve for

........2a)

from 1a) and 2a) we have

.......solve for






find
........2a)



go to
.............1), plug in





solutions:
,,


Answer by MathTherapy(10555)   (Show Source): You can put this solution on YOUR website!

-3x+6z=-3
6x+5y=-3
-y+5z=-13
If you wish to TORTURE yourself then go along with the way the person who claims to be a MATHLOVER, shows the solutions. Otherwise, do this problem as follows:

 - 3x       + 6z = - 3 ------ eq (i)

   6x + 5y       = - 3 ------ eq (ii)

        - y + 5z = - 13 ----- eq (iii)

 - 6x       + 12z = - 6 ------ Multiplying eq (i) by 2 ------ eq (iv)

        5y  + 12z = - 9 ------ Adding eqs (iv) & (ii) ------- eq (v)

      - 5y  + 25z = - 65 ----- Multiplying eq (iii) by 5 ---- eq (vi)

              37z = - 74 ----- Adding eqs (vi) & (v)

              



- 3x + 6(- 2) = - 3 ----- Substituting - 2 for z in eq (i)

- 3x = - 3 + 12

- 3x = 9





- y + 5(- 2) = - 13 ----- Substituting - 2 for z in eq (iii)

- y = - 13 + 10

- y = - 3

 

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