Solve for x,yx, yx,y in the system: 2x+3y=172^x + 3^y = 172x+3y=17 and 2x+2−3y+1=52^{x+2} - 3^{y+1} = 52x+2−3y+1=5.
x=3,y=2x=3, y=2x=3,y=2
x=2,y=3x=2, y=3x=2,y=3
x=1,y=1x=1, y=1x=1,y=1
x=4,y=1x=4, y=1x=4,y=1