Answer
$(4,0) $ is a solution of the system.
Work Step by Step
A solution of a system of two equations in two variables is an ordered pair of numbers that makes both equations true.
Substituting $x=4, y=0$ into each equation,
$2x+7y=8$
$2(4)-7(0)\stackrel{?}{=}8$
$8-0=8,\qquad $...the first equation is true for $(4,0)$
$x-9y=4$
$(4)-9(0)\stackrel{?}{=}4$
$4-0=4\qquad $...the second equation is true for $(4,0)$
$(4,0) $ is a solution of the system.
