Ask Question
22 June, 06:14

Solve using addition method

3x-3y+2z=7

3x+y-3z=-5

7x-y-2z=0

+4
Answers (1)
  1. 22 June, 07:21
    0
    3x - 3y + 2z = 7

    3x + 1y - 3z = - 5 ⇒ 6x - 2y - 1z = 2 ⇒ 42x - 14y - 7z = 14

    7x - 1y - 2z = 0 ⇒ 7x - 1y - 2z = 0 ⇒ 42x - 6y - 12z = 0

    -20y - 19z = 14

    -20y + 20y - 19z = 14 + 20y

    -19z = 14 + 20y

    -19 - 19

    z = - 14/19 - 1 1/19y

    3x - 3y + 2 (-14/19 - 1 1/19y) = 7

    3x - 3y - 1 9/19 - 2 2/19y = 7

    3x - 5 2/19y - 1 9/19 = 7

    +1 9/19 + 1 9/19

    3x - 5 2/19y = 8 9/19

    3x - 3x - 5 2/19y = 8 9/19 - 3x

    -5 2/19y = 8 9/19 - 3x

    -5 2/19 - 5 2/19

    y = - 1 64/97 + 57/97x

    3x - 3 (-1 64/97 + 57/97x) + 2 (-14/19 - 1 1/19y) = 7

    3x + 4 95/97 + 1 74/97x - 1 9/19 - 2 2/19y = 7

    4 74/97x - 2 2/19y + 3.5056972328 = 7

    -3.5056972328 - 3.5056972328

    4 74/97x - 2 2/19y = 3.494302767

    4 74/97x + 2 2/19y - 2 2/19y = 3.494302767 + 22/19y

    4 74/97x = 3.494302767 + 2 2/19

    4 74/97 4 74/97

    x = 0.7336523126 + 0.4420141262y

    3 (0.733652316 + 0.4420141262y) - 3 (-1 64/97 + 57/97x) + 2 (-14/19 - 1 1/19y) = 7

    2.200956948 + 1.326042379y + 4 95/97 - 1 74/97x - 1 9/19 - 2 2/19y = 7 - 1 74/97x - 0.7792207789y + 5.706654181 = 7

    -5.706654181 - 5.70665418

    -1 74/97x - 0.7792207789y = 1.293345820

    (x, y, z) = (0.733652316 + 0.4420141262, - 1 64/97 + 57/97x, - 14/19 - 1 1/19y)
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “Solve using addition method 3x-3y+2z=7 3x+y-3z=-5 7x-y-2z=0 ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers