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If the equations $2 x + 3 y + 1 = 0, 3 x + y - 2 = 0$ and $a x + 2 y - b = 0$ are consistent, find the value of $(a - b)$ .

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-2

-1

answer is B.

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Detailed Solution

Since the equations are consistent, so it has a solution.

Solving

$2 x + 3 y + 1 = 0$

and $3 x + y - 2 = 0$

we get,

$x = 1$ and $y = - 1$

It will satisfy the third equation, so,

$\begin{array}{l} a - 2 - b = 0 \\ \Rightarrow (a - b) = 2 \end{array}$

Hence, the value of ( a - b) is 2.

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