Question

4x - 3y = 15 2x + 2y = 4 what is the solution of the system of equations?

Answer 1

Answer:

System of Linear Equations entered :

  [1]    4x - 3y = 15

  [2]    2x + 2y = 4

Step-by-step explanation:

// Solve equation [2] for the variable  y  

 

 [2]    2y = -2x + 4

 [2]    y = -x + 2

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

  [1]    4x - 3•(-x +2) = 15

  [1]    7x = 21

// Solve equation [1] for the variable  x  

  [1]    7x = 21  

  [1]    x = 3  

// By now we know this much :

   x = 3

   y = -x+2

// Use the  x  value to solve for  y  

   y = -(3)+2 = -1  

Solution :

{x,y} = {3,-1}