Answer
$(-3, 1)$
Please see the graph.
Work Step by Step
$3x+10y=1$
$x+2y=-1$
Elimination
$(x+2y)*-3=-1*-3$
$-3x-6y=3$
$3x+10y+(-3x-6y)=1+3$
$3x+10y-3x-6y=4$
$4y=4$
$4y/4=4/4$
$y=1$
$x+2y=-1$
$x+2(1)=-1$
$x+2=-1$
$x+2-2=-1-2$
$x=-3$
$3x+10y=1$
$x+2y=-1$
Substitution
$x+2y=-1$
$x+2y-2y=-1-2y$
$x=-1-2y$
$3x+10y=1$
$3(-1-2y)+10y=1$
$-3-6y+10y=1$
$-3+4y=1$
$-3+4y+3=1+3$
$4y=4$
$4y/4=4/4$
$y=1$
$x+2y=-1$
$x+2(1)=-1$
$x+2=-1$
$x+2-2=-1-2$
$x=-3$
