SOLUTION: Solve the of equation 2x-y+z=-7, x-3y+4z=-19, and -x+4y-3z=18. A. There is one solution (-1,2,-3) B. There is one solution (1,-2,3) C. There is one solution (-1,-2,-3) D. The

Question 1127836: Solve the of equation 2x-y+z=-7, x-3y+4z=-19, and -x+4y-3z=18.
A. There is one solution (-1,2,-3)
B. There is one solution (1,-2,3)
C. There is one solution (-1,-2,-3)
D. There is one solution (1,2,3)
Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!

Solve the of equation
................eq.1
...........eq.2
...........eq.3
-------------------------------------------------
start with
...........eq.2
...........eq.3..........add both
-----------------------------------------------

..........(1a)

................eq.1
...........eq.2........multiply by
-----------------------------------------
................eq.1.
...........eq.2............subtract
-----------------------------------------

..........(1b)
from (1a) and (1b) we have

go to ..........(1a), plug in value

go to ................eq.1 plug in and value

answer: A. There is one solution (,,)

Answer by MathTherapy(10551) (Show Source): You can put this solution on YOUR website!

Solve the of equation 2x-y+z=-7, x-3y+4z=-19, and -x+4y-3z=18.
A. There is one solution (-1,2,-3)
B. There is one solution (1,-2,3)
C. There is one solution (-1,-2,-3)
D. There is one solution (1,2,3)

2x - y + z = - 7 -------- eq (i)
x - 3y + 4z = - 19 ------ eq (ii)
- x + 4y - 3z = 18 ------ eq (iii)
y + z = - 1 -------- Adding eqs (iii) & (ii) ------ eq (iv)
- 2x + 8y - 6z = 36 -------- Multiplying eq (iii) by 2 ------ eq (v)
7y - 5z = 29 -------- Adding eqs (v) & (i) ------ eq (vi)
5y + 5z = - 5 ------- Multiplying eq (iv) by 5 ------ eq (vii)
12y = 24 ------ Adding eqs (vii) & (vi)

2 + z = - 1 ------ Substituting 2 for y in eq (iv)

2x - 2 + - 3 = - 7 ------ Substituting 2 for y, and - 3 for z in eq (i)
2x - 5 = - 7
2x = - 7 + 5
2x = - 2

Now, you choose the correct answer!
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