Solve and graph the system of linear inequalities below:

x ≥ 0
y ≥ 0
y + x ≤ 6
y + 3x ≤ 12

show all working as much as possible and include in your answer a coordinate plane with all the included graphs (for the above equations) and the area/region of solutions appropriately shaded.

The below graph with portion enclosed by red lines is the solution to the given equations.

Step-by-step explanation:

means the portion to the right of

means the portion up of the  

For , we find and

For   we substitute y=0

,thus pont is

Similary , we substitute x=0

, thus point is

We connect these these two points and consider the below area as it contains less than inequality

For we again find the and

For   we substitute y=0

divide both side by , we get

, thus point is

Similary , we substitute x=0

Thus point is ,

Now connect these two points and consider the area below the line as it contains less than inequality.

Finally the area enclosed by all these lines is the solution to the given equations, that is shown below.

answer: what are the answer choices?

step-by-step explanation: