Question

solve by elimination. please show work, and state point of intersection.
2x+y=3 and 3x-2y=8
x+y=8 and 2x+3y=20

Answer 1

x+y=8------1
2x+3y=20------2
multiply 1st equation with 2 and subtract 2nd from 1st
2x+2y= 16
-2x-3y=-20
------------
-y=-4
y=4
now substitute y value in one of the equation
x+4=8
x=8-4
x=4
so x=4,y=4

Answer 2

2x+y=3 and 3x-2y=8
try it your self