b = -9a = -9 \left(-\frac{7}{6}\right) = \frac{63}{6} = \frac{21}{2}
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- Substitute \( b = -9a \) into \( 6a + b = \frac{7}{2} \):
- 6a - 9a = \frac{7}{2} \implies -3a = \frac{7}{2} \implies a = -\frac{7}{6}
- Now find \( b \):
- Substitute \( a \) and \( b \) into \( 7a + 3b + c = -4 \):
- 7\left(-\frac{7}{6}\right) + 3\left(\frac{21}{2}\right) + c = -4
- -\frac{49}{6} + \frac{63}{2} + c = -4
