X+100=Y Y²=X²+400
what is X/Y
X+100=Y (1)
Y²=X²+400 (2)
Substitute (1) into (2) and we have
[ X + 100]^2 = X^2 + 400 simplify
X^2 + 200X + 10000 = X^2 + 400 subtract X^2 + 400 from each side
200X + 9600 = 0 subtract 9600 from both sides
200x = -9600 divide both sides by 200
x = -96/2 = -48