Question on: JAMB Mathematics - 1998

The binary operation (\oplus) is defined by x (\ast) y = xy - y - x for all real values x and y. If x (\ast) 3 = 2(\ast), find x

A
-1
B
4
C
1
D
5
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Correct Option: C

x (\ast) y = xy - y - x, x (\ast) 3 = 3x - 3 - x = 2x - 3

2 (\ast) x = 2x - x - 2 = x - 2

∴ 2x - 3 = x - 2

x = -2 + 3

= 1

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