SOLUTION: x+y+z=-9, 2x+4y+2z=-14, -x+6y-32=35 find solution _,_,_

Algebra ->  Expressions-with-variables -> SOLUTION: x+y+z=-9, 2x+4y+2z=-14, -x+6y-32=35 find solution _,_,_       Log On


   

Question 417787: x+y+z=-9, 2x+4y+2z=-14, -x+6y-32=35 find solution _,_,_
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

x%2By%2Bz=-9 ..............1
2x%2B4y%2B2z=-14...........2
-x%2B6y-32=35.............3..... find solution
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x%2By%2Bz=-9 ..............1.solve for x
x=-9-y-z.........plug in 2
2x%2B4y%2B2z=-14...........2
2%28-9-y-z%29%2B4y%2B2z=-14
-18-2y-2z%2B4y%2B2z=-14
cross%28-2z%29%2B2y%2Bcross%282z%29=-14%2B18
2y=4
y=4%2F2
y=2..........plug in 3
-x%2B6y-32=35.............3
-x%2B6%2A2-32=35
-x%2B12-32=35
-x=35%2B32-12
-x=55....multiply by -1
-x%28-1%29=55%28-1%29
x=-55............plug x and y in 1 and find z


x%2By%2Bz=-9 ..............1

-55%2B2%2Bz=-9
z=-9%2B55-2
z=44

so, your solutions are:
x=-55
y=2
z=44

check:
2x%2B4y%2B2z=-14...........2
2%28-55%29%2B4%2A2%2B2%2A44=-14
-110%2B8%2B88=-14
-110%2B96=-14
-14=-14