Verified Answer :

\(\left \{ {{4x+2y=10} \atop {x-y=13}} \right.\)

\(x=13+y\)

\(4(13+y)+2y=10\)

\(52+4y+2y=10\)

\(6y=-42\)

\(y=-\frac{42}{6}=-7\)

\(y=-7\)

\(x=13-7=6\)

\(\left \{ {{x=6} \atop {y=-7}} \right.\)