For which of the following ordered pairs $(\mu ,\delta )$ $$ , the system of linear equations $x+2y+3z=1$ $$$$ $3x+4y+5z=\mu$  is inconsistent?

$4x+4y+4z=\delta$

<p>Note D = |3, 4, 5; 1, 2, 3; 4, 4| = 0 (R? → R? - 2R? + 3R? )<br>Now let P? = 4x+4y+4z-δ=0. If the system has solutions it will have infinite solution, so P? = αP? + βP? <br>Hence 3α+β=4 and 4α+2β=4 ⇒ α=2 and β=-2<br>So for infinite solution 2µ-2=δ ⇒ for 2µ ≠ δ+2 System inconsistent</p>

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