Solve for a, b, c
a=7
b=4
c=9
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a=-b+11
Solve a+b=11 for a.
c-b+11=16
Substitute -b+11 for a in the equation c+a=16.
b=c-5 c=-b+13
Solve the second equation for b and the third equation for c.
c=-\left(c-5\right)+13
Substitute c-5 for b in the equation c=-b+13.
c=9
Solve c=-\left(c-5\right)+13 for c.
b=9-5
Substitute 9 for c in the equation b=c-5.
b=4
Calculate b from b=9-5.
a=-4+11
Substitute 4 for b in the equation a=-b+11.
a=7
Calculate a from a=-4+11.
a=7 b=4 c=9
The system is now solved.
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