Question 107255
2x+3y=1...............(1)
5x+3y=16..............(2)

(1)+-(2)
-(2)=-5x-3y=-16

(1)+-(2)

2x+-5x+3y-3y=1+-16
-3x=-15
x=-15/-3
x=5

sub into (1)

2*5+3y=1
10+3y=1
3y=1-10
3y=-9
y=-3

you have a solution for x and y which means the solution is unique