Substitute equation (2) into equation (1):
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- If \( a \cdot (a + b) = 20 \) and \( a + b = 7 \), find the value of \( a \).
- \( a(a + b) = 20 \)
- \( a + b = 7 \)
- \[ a \cdot 7 = 20 \Rightarrow 7a = 20 \Rightarrow a = \frac{20}{7}. \]
- Thus, the value of \( a \) is \( \boxed{\frac{20}{7}} \).
- Rationalize the denominator of \( \frac{4}{\sqrt{5} - \sqrt{3}} \).
