-1 and 5
-5 and 1
1 and 5
1 and 1
Correct answer is A
3x+y=8...(i)
x2+xy=6...(ii)
From (i), y=8−3x
From (ii), xy=6−x2⟹y=6−x2x
Equating the two values of y, we have
8−3x=6−x2x⟹x(8−3x)=6−x2
8x−3x2=6−x2⟹6−x2−8x+3x2=0
2x2−8x+6=0
x2−4x+3=0
x2−3x−x+3=0⟹x(x−3)−1(x−3)=0
(x−1)(x−3)=0∴
y = 8 - 3x
When x = 1, y = 8 - 3(1) = 5
When x = 3, y = 8 - 3(3) = -1
\therefore \text{y = -1 or 5}
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