Answer
$(2,\frac{5}{4})$
Work Step by Step
$2x+4y=9$
$6x-4y=7$
Combine the two equations using elimination:
$8x=16$
Then solve for x:
$x=2$
Substitute $x$ in the first equation:
$2(2)+4y=9$
$4y=5$
$y=\frac{5}{4}$
The point of intersection is $(2,\frac{5}{4})$