84m + 16w = 64

64m + aw = 64+a

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asked by guest
on Nov 24, 2024 at 7:58 am



You asked:

Solve the equations \[\begin{aligned}84 m + 16 w &= 64\\64 m + a w &= 64 + a\end{aligned}\] for the unknown \(a\).

MathBot Answer:

The system of equations has infinitely many solutions.

$$\begin{aligned}a &= \frac{64 \cdot \left(4 w + 5\right)}{21 \left(w - 1\right)}\\m &= \frac{16}{21} - \frac{4 w}{21}\end{aligned}$$

\(w\) is a free variable.


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