Find a x^{5}+b y^{5} if the real numbers a, b, x and y satisfy the equations
a x+b y=3, \quad a x^{2}+b y^{2}=7, \quad a x^{3}+b y^{3}=16, \quad a x^{4}+b y^{4}=42
Find a x^{5}+b y^{5} if the real numbers a, b, x and y satisfy the equations