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                                         SYSTEM OF EQUATIONS-ELIMINATION #3—KEY

Directions:  Solve each system of equations below by eliminating a variable from each system.  In order to 
eliminate a variable, you will have to use multiplication or division to modify both equations.

                                  modified equations                                              modified equations                                               modified equations

1)    6x + 8y = 52    30x + 40y = 260    2)    2x + 6y = 46			        3)    8x + 3y = 56

       5x + 3y = 36    30x + 18y = 216           5x  - 3y =   7			               9x + 2y = 52

        x =    6           y =    2    		           x =    5           y =    6    	                x =    4           y =     8    

4)    10x + 5y = 90			     5)    2x + 7y = 81			        6)    5x + 7y = 59

         5x + 2y = 36		                        7x  - 3y = 36			               3x + 2y = 31

        x =    0           y =    18    		            x =    9           y =    9    	                x =    9           y =     2    

7)    36x + 24y = 228			     8)    6x - 8y = 48			        9)    18x + 54y = 504

       30x + 10y = 140		                        8x - 3y = 64			               12x + 15y = 189

        x =    3           y =    5    		            x =    8           y =    0    	                x =    7           y =     7    

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