\left\{ \begin{array} { l } { A = 1 } \\ { A + B = 0 } \\ { 2 A + B + C = 0 } \end{array} \right.
Solve for A, B, C
A=1
B=-1
C=-1
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1+B=0
Consider the second equation. Insert the known values of variables into the equation.
B=-1
Subtract 1 from both sides. Anything subtracted from zero gives its negation.
2\times 1-1+C=0
Consider the third equation. Insert the known values of variables into the equation.
2-1+C=0
Multiply 2 and 1 to get 2.
1+C=0
Subtract 1 from 2 to get 1.
C=-1
Subtract 1 from both sides. Anything subtracted from zero gives its negation.
A=1 B=-1 C=-1
The system is now solved.
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