Algebraic Solution To Linear System Worksheet

                     Lesson 1

 

                                                            Problem:      Solve and check: 7x + 3y = 6, x – 3y = 10

                                                                                                 

                                                            Solution       Subtract second equation from first

                                                            Step 1:             7x + 3y = 6

                                                                                        x – 3y = 10

                                                                                      8x - 0 = 16                                                                                  

                           

                                                            Solution       Find value of  x :  x  =  2

Step 2: 

                            

                                                            Solution       Insert the value of x in any of the equation and find   the value of y:

                                                            Step 3:            2 – 3y = 10; y = -8/3                                                            

 

                                                            Solution        Answer: x = 2, y = -8/3

                                                            Step 4:

Complete      

 

                                                            Try two practice problems:  

 

 

1.

   2x - 3y = 4   
  x + 3y =  6

 

2.

   3x - 2y = 2  
  3x + 5y  = 4

 

 

 

 

 

 

 

 

 

© www.MathWorksheetsWorld.com-For Math Worksheets & Math Lessons