How many solutions does the following system of equations have

How many solutions does the following system of equations have?

y=(5)/(2)*x+2
2y=5x+4

A. Infinitely many
B. Two
C. One
D. Zero

the two are identical so infinitely many.

y = (5)/(2)*x + 2 ........................ [1]
2y = 5x + 4 .......................... [2]

From [1], 2y = 5/x + 4 .................. [3]

From [2] and [3], 5x +4 = 5/x +4,

5x^2 = 5, ===> x^2 = 1,

x = 1, and x = -1 >======================< ANSWER
AND
Answer is : B. Two .===================< ANSWER