Let $$ be a binary operation on $R$ defined by $a b = a + b - a b .$ If $x * 5 = 3,$ then the value of $x$ is

\frac{- 1}{2}

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\frac{- 1}{3}

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\frac{3}{5}

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\frac{1}{2}

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Solution

The correct option is D $\frac{1}{2}$
$x * 5 = 3$
$\Rightarrow x + 5 - 5 x = 3$
$\Rightarrow - 4 x + 5 = 3$
$\Rightarrow x = \frac{1}{2}$

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