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Solve for C, a, b
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a=-\frac{1}{2}b b=2-3a
Solve the second equation for a and the third equation for b.
b=2-3\left(-\frac{1}{2}\right)b
Substitute -\frac{1}{2}b for a in the equation b=2-3a.
b=-4
Solve b=2-3\left(-\frac{1}{2}\right)b for b.
a=-\frac{1}{2}\left(-4\right)
Substitute -4 for b in the equation a=-\frac{1}{2}b.
a=2
Calculate a from a=-\frac{1}{2}\left(-4\right).
C=3 a=2 b=-4
The system is now solved.