Question

If P (x + 1, 5) = Q( 9, y+2 ) then which of the following is true a) None of these b) x y = 10 c) x - y = 1 d) x + y = 11

Answer 1

$Given \: P( \blue {x+1 }, 5 ) = Q( \blue {9}, y + 2 )$

/* We know that ,

$\boxed { \pink { If \: (a,b) = (c,d) \implies a = c \: and \: b = d }}$

$\blue {i ) x + 1 = 9 }$

$\implies x = 9 - 1$

$\implies x = 8\: --(1)$

$and \: ii ) 5 = y + 2$

$\implies 5 - 2 = y$

$\implies y = 3\: ---(2)$

$\green {x + y = 8 + 3 = 11 }$

Therefore.,

$Option \: \pink { ( d ) } \: is \: correct.$

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