This system has one solution.

{y=−2x+4
{y=x2+4x+13

what is the y-coordinate of the solution?
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Hello here is a solution : 
y=−2x+4 ... (1)
y=x²+4x+13(2) 

x²+4x+13 = -2x+4
x²+4x+13+2x-4 =0
x²+6x+9 =0 
x²+2(3)x+3² = 0
by identite : (x+3)² =0        x+3 =0    x = -3 
 the y-coordinate of the solutionis : y = -2(-3)+4 = 10

The difference is 5,100m?