Answer
The given point is NOT a solution of the given equation.
Work Step by Step
An ordered pair is a solution of an equation if its coordinates satisfy the equation itself.
Substitute the x (x=5) and y (y=1) values of the given point into the given equation to obtain:
$3y+4x=19
\\3(1)+4(5)=19
\\3+20=19
\\23 \ne 19$
Since the coordinates of the given point do not satisfy the given equation, then the given point is NOT a solution of the given equation.