SOLUTION: Solve each system of equations. 1. 5x + 4y - z = 1 2x - 2y + z = 1 -x - y +z =2 2. x + y + z = 0 2x +3y + 2z = -1 x - y + z = 2 3. x + 2y = 0 4x - z =

Algebra ->  Systems-of-equations -> SOLUTION: Solve each system of equations. 1. 5x + 4y - z = 1 2x - 2y + z = 1 -x - y +z =2 2. x + y + z = 0 2x +3y + 2z = -1 x - y + z = 2 3. x + 2y = 0 4x - z =       Log On


   

Question 309474: Solve each system of equations.
1. 5x + 4y - z = 1
2x - 2y + z = 1
-x - y +z =2

2. x + y + z = 0
2x +3y + 2z = -1
x - y + z = 2

3. x + 2y = 0
4x - z = 4
5y + z = -1
Found 2 solutions by richwmiller, JBarnum:
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
rules violations
one problem at a time
no similar problems

Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
well once you see how to solve one theres no need for me to solve the other 2 as they are using the same method to solve so all you need is one example.
5x%2B4y-z=1
2x-2y%2Bz=1
-x-y%2Bz=2
_ _ _ _ _ _ _ _
z=%282%2Bx%2By%29
5x%2B4y-%282%2Bx%2By%29=1 1st equation with z substitute
2x-2y%2B%282%2Bx%2By%29=1 2nd equation with z substitute
_ _ _ _ _
5x%2B4y-2-x-y=1
2x-2y%2B%282%2Bx%2By%29=1add like terms
_ _ _ _ _
4x%2B3y=3
3x-y=-1multiply this line by 3
_ _ _ _ _
4x%2B3y=3
9x-3y=-3add the 2 lines together
_ _ _ _ _
13x=0
highlight%28x=0%29
_ _ _ _ _
4x%2B3y=3multiply this line by 3
3x-y=-1multiply this line by 4
_ _ _ _ _
12x%2B9y=9
12x-4y=-4subtract these two lines
_ _ _ _ _
13y=13
highlight%28y=1%29
_ _ _ _ _
z=%282%2Bx%2By%29 solve for z
z=%282%2B0%2B1%29
highlight%28z=3%29