Question 649676
x+2y=4
2x-6y=3

We need to turn the x into a -2x, so we multiply the first system by -2

-2(x+2y=4)

-2x-4y=-8
2x-6y=3

-10y=-5

y=2

Plug 2 into the first equation for y

x+2(2)=4
x+4=4
x=0

Solution: (0,2)