[tex]\frac{x}{y} = \frac{5}{7} \implies x=\frac{5y}{7} [/tex]
[tex]x+y=430\\[/tex]
[tex]\frac{5y}{7} +y=430\\\\
\frac{12y}{7} = 430\\\\
y=\frac{7*430}{12} = \frac{7*215}{6} =\frac{1505}{6}\\\\
x=\frac{5*1505}{6*7} =\frac{5*215}{6} = \frac{1075}{6} [/tex]
