Thje 'solution' is the number that 'x' must be in order to make the equation
a true statement.
x + 5 = 16
Subtract 5 from each side of the equation:
x = 11
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That is not a correct equation. The numbers on the left equal -16, not 0. This is an equation with no solution.
16 = 16 is an identity, not an equation. An identity does not have solutions.
-4 and 4
The equation is -2y + 16 = 10
Multiplying the first equation by -3 gives -21x - 6y = -48 but the other equation gives 24 as the value of the same expression, so you are correct, there is no solution