# How do you solve the system x+2y>1 and x^2+y^2<=25 by graphing?

Mar 6, 2017

See explanation

#### Explanation:

${x}^{2} + {y}^{2} \le 25$ is all the area inside the circle including the perimeter

$x + 2 y > 1$ all that which is above the line $y = \frac{1}{2} \left(1 - x\right)$ but not including the line.

Combine these and you have the shaded area