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
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
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
Source: Myschool Past Questions Archive (Record #32714)