Using system of equations solve 2x-3y=5 4x+y=3

2x-3y=5;4x+y=3 Solution : {x,y} = {1,-1}  System of Linear Equations entered :  [1] 2x - 3y = 5   [2] 4x + y = 3 Graphic Representation of the Equations : -3y + 2x = 5 y + 4x = 3 Solve by Substitution :

// Solve equation [2] for the variable  y  
 

[2] y = -4x + 3

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

  [1] 2x - 3•(-4x+3) = 5   [1] 14x = 14

// Solve equation [1] for the variable   x  

  [1] 14x = 14    [1] x = 1 

// By now we know this much : 

  x = 1   y = -4x+3

// Use the  x  value to solve for  y  

  y = -4(1)+3 = -1 Solution : {x,y} = {1,-1}