Question

what value of k the following system of equation has a unique solution 2 X + Y = 3 & ky + X = 8​

Answer 1

Answer:

$If a system has infinite number of solution, then</p><p></p><p>a2a1=b2b1=c2c1</p><p></p><p>2x−y=8</p><p></p><p>Herea1=2,b1=−1,c1=8</p><p></p><p>6x−3y=4a</p><p></p><p>Here a2=6,b2=−3,c2=4a</p><p></p><p>∴62=−3−1=4a8</p><p></p><p>⇒31=4a8</p><p></p><p>⇒4a=8×3</p><p></p><p>⇒4a=24</p><p></p><p>⇒a=424=6</p><p></p><p>$

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