Solve for A, C, B
A=77
C=1
B=-72
Quiz
Algebra
\left. \begin{array}{l}{ A + C = 78 }\\{ A + B + C = 6 }\\{ A + B = 5 }\end{array} \right.
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A=-C+78
Solve A+C=78 for A.
-C+78+B+C=6 -C+78+B=5
Substitute -C+78 for A in the second and third equation.
B=-72 C=73+B
Solve these equations for B and C respectively.
C=73-72
Substitute -72 for B in the equation C=73+B.
C=1
Calculate C from C=73-72.
A=-1+78
Substitute 1 for C in the equation A=-C+78.
A=77
Calculate A from A=-1+78.
A=77 C=1 B=-72
The system is now solved.
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