Question

3x+2y =5and 2x_3y=7 are​

Answer 1

Answer:

{x,y} = {29/13,-11/13}

Step-by-step explanation:

System of Linear Equations entered :

  [1]    3x + 2y = 5

  [2]    2x - 3y = 7

Solve by Substitution :

// Solve equation [2] for the variable  x  

 

 [2]    2x = 3y + 7

 [2]    x = 3y/2 + 7/2

// Plug this in for variable  x  in equation [1]

  [1]    3•(3y/2+7/2) + 2y = 5

  [1]    13y/2 = -11/2

  [1]    13y = -11

// Solve equation [1] for the variable  y  

  [1]    13y = - 11  

  [1]    y = - 11/13  

// By now we know this much :

   x = 3y/2+7/2

   y = -11/13

// Use the  y  value to solve for  x  

   x = (3/2)(-11/13)+7/2 = 29/13  

Solution :

{x,y} = {29/13,-11/13}