X+2y=3
3x-2y=5
What is the solution to system of equations?

x+2y=3;3x-2y=5  

Solution :

{x,y} = {2,1/2}  

System of Linear Equations entered :

  [1]    x + 2y = 3

  [2]    3x - 2y = 5

Graphic Representation of the Equations :

   2y + x = 3        -2y + 3x = 5  

Solve by Substitution :

// Solve equation [1] for the variable  x  

 [1]    x = -2y + 3

// Plug this in for variable  x  in equation [2]

  [2]    3•(-2y+3) - 2y = 5

  [2]     - 8y = -4

// Solve equation [2] for the variable  y  

  [2]    8y = 4  

  [2]    y = 1/2  

// By now we know this much :

   x = -2y+3

   y = 1/2

// Use the  y  value to solve for  x  

   x = -2(1/2)+3 = 2  

Solution :

{x,y} = {2,1/2}  

  Processing ends successfully  

Step-by-step explanation: