I've been really struggling with this question, could someone please walk me through it.

x+y=0.4276 (so, y=0.4276-x)
x/23.947+y/56.105=0.01034

Solve for x.

the 2nd equation is

0.04176x + 0.01782y = 0.01034
then since you have y,

0.04176x + 0.01782(0.4276-x) = 0.01034

0.02394x = 0.0027202
x = 0.1136