[tex]+\left\{\begin{array}{ccc}2x+5y=24\\3x-5y=14\end{array}\right\ add\ sides\ of\ equations\\---------\\.\ \ \ \ \ \ 5x=38\ \ \ \ \ |divide\ both\ sides\ by\ 5\\.\ \ \ \ \ \ \ x=7.6\\\\2(7.6)+5y=24\\15.2+5y=24\ \ \ \ \ \ |subtract\ 15.2\ from\ both\ sides\\5y=8.8\ \ \ \ \ \ |divide\ both\ sides\ by\ 5\\y=1.76\\\\Answer:x=7.6;\ y=1.76[/tex]
