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x+y+z=24,x−2y+0=0,2x+3y+1=12
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Solution
x=227,y=117,z=1357
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Solution steps
Solve by:
Solve by substitution
Solve by substitution
Solve by elimination
Solve by Cramer's rule
Solve by Gaussian elimination
One step at a time
[
x+y+z=24
x−2y+0=0
2x+3y+1=12
]
Isolate xfor x−2y+0=0:x=2y
Substitute x=2y
[
2·2y+3y+1=12
2y+y+z=24
]
Simplify
[
7y+1=12
3y+z=24
]
Isolate yfor 7y+1=12:y=117
Substitute y=117
[
3·117+z=24
]
Simplify
[
337+z=24
]
Isolate zfor 337+z=24:z=1357
For x=2y
Substitute y=117,z=1357
x=2·117
2·117=227
x=227
The solutions to the system of equations are:
x=227,y=117,z=1357
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