Graph the line given by 2x+y=1 and the circle given by x²+y²=10.find all solutions to the system of equations. verify your result both algebraically and graphically.

Algebraically, the point (1, -5) satisfies the first inequality, but it does not satisfy the second inequality because -5 is not greater than -5. Graphically, the point (1, -5) lies in the shaded area of the first inequality but lies on the dashed line of the second inequality, which is not inclusive. Therefore (1, -5) is not a solution to the given system of inequalities.