Copper is composed of two naturally occurring isotopes: Cu−63 (69.170%) and Cu−65. The ratio of the masses of the two isotopes is 1.0318.

x*0.69170+x*1.0318*(1-0.69170)=63.546

x=answer

What is the mass of Cu−63?

I believe you also need to know the mass of the mixture occurring in nature.

I just asks me to figure out the mass of Cu-63? the mass of nature is 69.170% for Cu-63 and for Cu_65 it is 30.83%

I don't think you understand what I need. The ABUNDANCE of 63 is 69.170% and the ABUNDANCE of 65 is 30.83%. But you don't have the mass of anything; i.e., you don't have the mass of 63 or the mass of 65 or the mass of the isotope as it occurs in nature (the mixture). Here is as far as I can go.

Let x = mass Cu63
and y = mass Cu65
and z = mass of naturally occurring isotope.
--------------------
x(0.69170)+(y)(0.3083) = z
Three unknowns and you can't solve the equation. You can relate x and y with the ratio data. You don't say which ratio is which but I presume that is mass Cu65/mass Cu63 = 1.0318 and that lets us write
y/x = 1.0318 or y = 1.0318x and that can be substituted into the above for
x(0.69170) + (1.0318x)(0.3083)= z.
I believe you need another piece of information, namely z, to solve the equation.

would is be the atomic number for the element Cu?

That is all the information they gave me that is why I ask

No it isn't the atomic number; however, I looked up the atomic mass on the periodic table and it is 63.5463 as it occurs in nature. Plug that in for z and solve.

I got 16.99?

never mind its not that