if 1/4a+1/3b=16 and 2a+15=b, then a=?

asked by guest
on Sep 19, 2024 at 9:20 pm



You asked:

Given the following equations: \[\begin{aligned}\frac{1}{4 a} + \frac{1}{3 b} &= 16\\ 2 a + 15 &= b\end{aligned}\] Evaluate \(a\).

MathBot Answer:

The system of equations has \(2\) solutions.

\[a = - \frac{1435}{384} + \frac{\sqrt{2076505}}{384}, b = \frac{\sqrt{2076505}}{192} + \frac{1445}{192}\]\[a = - \frac{\sqrt{2076505}}{384} - \frac{1435}{384}, b = \frac{1445}{192} - \frac{\sqrt{2076505}}{192}\]

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