elimination

{ 2x-4y+z=11

x+2y+3z=9

3y+5z=12

steps to getting the answer

Question

27-03-2015
Mathematics

Answered

elimination

{ 2x-4y+z=11

x+2y+3z=9

3y+5z=12

steps to getting the answer

Verified Answer :

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Panoyin Panoyin · Answer 1 · 2015-04-03T16:37:16-04:00

2x - 4y + 1z = 11 ⇒ 2x - 4y + 1z = 11
1x + 2y + 3z = 9   ⇒ 1x + 2y + 3z = 9
3x    + 5z = 12    1x - 2y - 2z = 2
         1x - 2y - 2z = 2
2x - 4y + 1z = 11     -2x + 2y - 2z = -3
1x + 2y + 3z = 9   ⇒ 1x + 2y + 3z = 9       x - 4z = 1
3x    + 5z = 12 ⇒ 3x    + 5z = 12 x - 4z + 4z = 1 + 4z
   -2x + 2y - 2z = -3    x = 1 + 4z
   1 + 4z - 2y - 2z = 2
   1 - 2y + 4z - 2z = 2
      1 - 2y + 2z = 2
      - 1    - 1
      -2y + 2z = 1
   -2y + 2z - 2z = 1 - 2z
      -2y = 1 - 2z
   -2 -2
   y = -0.5 + z
   x + 2(-0.5 + z) - 2z = 2
      x - 1 + z - 2z + 2 = 2
         x - 1 + z = 2
   + 1    + 1
      x + z = 3
       x - x + z = 3 - x
      z = 3 - x

elimination{ 2x-4y+z=11x+2y+3z=93y+5z=12steps to getting the answer

Verified Answer :

Related Questions

elimination

{ 2x-4y+z=11

x+2y+3z=9

3y+5z=12

steps to getting the answer