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If the equation $2 x + 3 y + 1 = 0, 2 x + y - 1 = 0$ and $a x + 2 y - b = 0$ are consistent then

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$a + b +1= 0$

$a - b - 8= 0$

$a - b = 2$

$a + b=3$

answer is A.

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Detailed Solution

$2 x + 3 y + 1 = 0$

$2 x + y - 1 = 0$ on solving $x = 1, y = - 1$ if equations are consistent, then $a (1) + 2 (- 1) - b = 0; a - b - 2 = 0$

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