Example

3(r+2s)=2t-4
a⋅(b-2)=3b
3(r+2s)=2t-4
a⋅(b-2)=3b

Question

$$x=3+2t; \begin{cases}x=3+2t\\ y=4+5t\\ z=2+t\end{cases}$$

Answer

Infinitely Many Solutions

Solution


Substitute \(x=3+2t\) into \(x=3+2t\).
\[3+2t=3+2t\]
Since \(3+2t=3+2t\) is redundant information, this is a dependent system.
Infinitely Many Solutions
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