y = 3x + 8 and y = 2x + 6.

Question

System of linear equations

Answer 1

 y=2x-6;y=3x-8 

Solution :

 {y,x} = {-2,2} 

System of Linear Equations entered :

  [1] y - 2x = -6   [2] y - 3x = -8

Graphic Representation of the Equations :

-2x + y = -6 -3x + y = -8

Solve by Substitution :

// Solve equation [2] for the variable  y  
 

[2] y = 3x - 8

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

  [1] (3x-8) - 2x = -6   [1] x = 2

// Solve equation [1] for the variable  x  
 

  [1] x = 2 

 

// By now we know this much :

  y = 3x-8   x = 2

// Use the  x  value to solve for  y  

  y = 3(2)-8 = -2 

Solution :

 {y,x} = {-2,2}