Question

What is the solution for the following system of equations? 2x + y = 7 x - 2y = 6

Answer 1

I got you bro!

Answer:

{x,y} = {4-1}

You might be wondering how I got this, well here are the steps:

System of Linear Equations entered :

  [1]    2x + y = 7

  [2]    x - 2y = 6

Graphic Representation of the Equations :

   y + 2x = 7        -2y + x = 6  

 

Solve by Substitution :

// Solve equation [2] for the variable  x  

 [2]    x = 2y + 6

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

  [1]    2•(2y+6) + y = 7

  [1]    5y = -5

// Solve equation [1] for the variable  y  

  [1]    5y = - 5

  [1]    y = - 1

// By now we know this much :

   x = 2y+6

   y = -1

// Use the  y  value to solve for  x  

   x = 2(-1)+6 = 4

Solution :

{x,y} = {4,-1}

I hope this has helped you and have a wonderful day!