GCD & LCMhard
0:00.0

The Diophantine equation 3x+5y=203x + 5y = 20 has integer solutions. One particular solution is (x0,y0)=(5,1)(x_0, y_0) = (5, 1). The general solution is x=5+5tx = 5 + 5t, y=13ty = 1 - 3t for integer tt. How many solutions (x,y)(x, y) satisfy the equation AND 0x200 \le x \le 20?