Solve for x and y in the equations below x2 - y2 = 4 x...

Mathematics

JAMB 2012

Solve for x and y in the equations below
x² - y² = 4
x + y = 2

A. x = 0, y = -2
B. x = 0, y = 2
C. x = 2, y = 0
D. x = -2, y = 0

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Correct Answer: Option C

Explanation

x² - y² = 4 .... (1)
x + y = 2 .... (2)

Simplify eqn (1)

(x + y)(x - y) = 4

From eqn (2)
x + y = 2 so substitute it into simplified eqn (1), we have

2 (x - y) = 4

therefore,
x - y = 2 ... (1)
x + y = 2
---------
2x = 4
---------

x = 2, when y = 0

There is an explanation video available below.

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