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Perpendicular Distance of a Point from a Plane

How many solu...

Question

How many solutions, the following system has
4x-5y-20=0
3x+5y-15=0

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Solution

$\begin{matrix} 4 x - 5 y - 20 = 0 3 x + 5 y - 15 = 0 Δ = ∣ ∣ ∣ \begin{matrix} 4 & - 5 3 & 5 \end{matrix} ∣ ∣ ∣ = 35 Δ \neq 0 \Rightarrow U n i q u e s o l u t i o n . \end{matrix}$

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