SOLUTION: X+y= 12 Y+z=10 Z+x=8 Find the value.of x,y,z

Algebra ->  Linear-equations -> SOLUTION: X+y= 12 Y+z=10 Z+x=8 Find the value.of x,y,z      Log On


   

Question 1081861: X+y= 12
Y+z=10
Z+x=8
Find the value.of x,y,z
Found 2 solutions by math_helper, josgarithmetic:
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
x+y= 12 ==> x = 12-y
y+z=10 ==> z = 10-y
z+x=8 ==> (12-y) + (10-y) = 8
22 - 2y = 8 —> y=7 —> x=5, z=3
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Ans: x=5, y=7, z=3
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Check: x+y = 7+5 = 12 (ok)
y+z = 7+3 = 10 (ok)
z+x = 3+5 = 8 (ok)

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%2By%29%2B%28y%2Bz%29%2B%28z%2Bx%29=12%2B10%2B8

2x%2B2y%2B2z=30

x%2By%2Bz=15

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x%2By%2Bz-%28y%2Bz%29=15-10
x=5
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x%2By%2Bz-%28x%2Bz%29=15-8
y=7
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x%2By%2Bz-%28x%2By%29=15-12
z=3
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SOLUTION: system%28x=5%2Cy=7%2Cz=3%29