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                                         SYSTEM OF EQUATIONS-WORD PROBLEMS #5—KEY

Directions:  Find the answers to each situation below by setting up and solving a system of equations.  

1)	The sum of a number, x, and another number, y, is 42.  The difference of x and y is 16.  Find x and y.
       x + y = 42					   				                             x =  29    	
       x - y = 16									                             
     y =  13    	
	
2)	The sum of a number, x, and another number, y, is 112.  The difference of x and y is 16.  Find x and y.
    											                             x =  71   	
													    
     y =  41    	

3)	The sum of a twice a number, x, and another number, y, is 90.  The difference of x and y is 21.  Find x and y.
    											                             x =  37   	
													     
     y =  16    	

4)	The sum of five times a number, x, and another number, y, is 82.  The difference of x and y is 2.  Find x and y.
    											                             x =  14   	
													     
     y =  12    	

5)	The sum of half of a number, x, and another number, y, is 54.  The difference of x and y is 18.  Find x and y.
    											                             x =  48   	
													     
     y =  30    	

6)	The sum of a three times a number, x, and twice another number, y, is 71.  The difference of x and y is 7.  Find x and y.
    											                             x =  17   	
													     
     y =  10    	    

7)	The sum of a twice number, x, and twice another number, y, is -78.  The value of x is one less than the value of y.  Find x and y.
    											                             x =  -20   	
													    
     y =  -19       
						       
8)	The sum of a number, x, and the opposite of another number, y, is 99.  The difference of x and y is also 99.  Find x and y.
    											                             x =   56   	
													     
     y =  -43    

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