The set of value of x and y which satisfies the equations x2 - y...

Mathematics

JAMB 1978

The set of value of x and y which satisfies the equations x² - y - 1 = 0 and y - 2x + 2 = 0 is

A. 1, 0
B. 1, 1
C. 2, 2
D. 0, 2
E. 1, 2

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Correct Answer: Option A

Explanation

x² - y - 1 = 0.......(i)

y - 2x + 2 = 0......(ii)

By re-arranging eqn. (ii)

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

Subst. eqn. (iii) in eqn (i)

x² - (2x - 2) - 1 = 0

x² - 2x + 1 = 0

= (x - 1) = 0

When x - 1 = 0

x = 1

Sub. for x = 1 in eqn. (iii)

y = 2 - 2 = 0

x = 1, y = 0

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