The binary operation oplus is defined by x ast ... - JAMB Mathematics 1998 Question
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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