Cansomebody help me with this Solve the following systems of inequalities using the graphing method. Shade the solution set. 17. x+y4 y+3x

Question

Cansomebody help me with this Solve the following systems of inequalities using the graphing method.  
Shade the solution set.

17.  x+y>4
       y+3x<6

anonymous · Answer

[1]    x + y = 4
   [2]    3x + y = 6
 y = -3x + 6
   x + (-3x+6) = 4
     -2x = -2
 2x = 2 
   x = 1 
// By now we know this much : 
    x = 1
    y = -3x+6
Use the  x  value to solve for  y  

    y = -3(1)+6 = 3 
 {x,y} = {1,3}