Q.

If the system of equations x+2y−3z=1,(p+2)z=3,(2p+1)y+z=2 is inconsistent, then the value of 2020500p=

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answer is -8.08.

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Detailed Solution

If p≠−2,−12 then z=3p+2andy=1p+2Corresponding to this value we can get ‘x’If p=−12, we get z=2, thus we get infinite no. of values of xand y.Thus, p=−2, the system is inconsistent.∴2020500p=2020500-2=-8.08
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If the system of equations x+2y−3z=1,(p+2)z=3,(2p+1)y+z=2 is inconsistent, then the value of 2020500p=