Multiple Regression: Find y from e?

A statistician fit a simple linear model y_i=B_0+B_1*x_i+e_i, i = 1,…,5, and obtained residuals e = (-10,38,-17,8,-19). She wrote down the fitted values, but the ink got smudged and one of the values is unreadable. The fitted values are y^ = (1,2,1,smudge,3). Can you find the missing value? I understand, e=y-BX and X`e=0, but how do you find this value without knowing the X or B vectors??

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