What is the solution to the system shown here? x + y ≥ 5 x + y ≤ 5 no solution points in shaded area between two parallel lines points on a line points on one side of one of the lines

The solution to the system of equation is:

Points on a line  (x +y =5)

Step-by-step explanation:

We are asked to find the solution of the system of equations as:

           x + y ≥ 5

and      x + y ≤ 5.

Clearly from the equation we could observe that both the inequalities are similar there is just a change of the sign in the inequality.

one has ≤ sign and the other has ≥ sign.

Hence the common region is:

x + y =5.

Hence, The solution to the system of equation is:

Points on a line  (x +y =5)

Hence, the common region will be a straight line with x-intercept at (5,0) and x-intercept of the line at (0,5).