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Solve for x and y if x - y = 2 and x\(^2\) - y\(^2\)...

Mathematics
JAMB 2010

Solve for x and y if x - y = 2 and x\(^2\) - y\(^2\) = 8

  • A. (-1, 3)
  • B. (3, 1)
  • C. (-3, 1)
  • D. (1, 3)
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Correct Answer: Option B
Explanation

x - y = 2 ...........(1)

x\(^2\) - y\(^2\) = 8 ........... (2)

x - 2 = y ............ (3)

Put y = x - 2 in (2)

x\(^2\) - (x - 2)\(^2\) = 8

x\(^2\) - (x\(^2\) - 4x + 4) = 8

x\(^2\) - x\(^2\) + 4x - 4 = 8

4x = 8 + 4 = 12

x = \(\frac{12}{4}\)

= 3

from (3), y = 3 - 2 = 1

therefore, x = 3, y = 1

There is an explanation video available below.


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Explanation Video

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