MATHEMATICS

JAMB 2010 - Question 16

Mathematics 2010 JAMB Past Questions - Question 16: Solve for x and y if x-y = 2 and x² - y² = 8

Solve for x and y if x-y = 2 and x² - y² = 8
A:
B:
C:
D:
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Correct Answer

B

Explanation

x - y = 2 ...........(1)x2 - y2 = 8 ........... (2)x - 2 = y ............ (3)Put y = x -2 in (2)x2 - (x - 2)2 = 8x2 - (x2 - 4x + 4) = 8x2 - x2 + 4x - 4 = 84x = 8 + 4 = 12x = 12/4= 3from (3), y = 3 - 2 = 1therefore, x = 3, y = 1