Author: Chicago Public Schools
Last saved by: mike

Name________________________

                                         SYSTEM OF EQUATIONS-WORD PROBLEMS #6

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 62.5.  The difference of x and y is 20.5.  Find x and y.
       x + y = 62.5					   				                             x =             	
       x - y = 20.5									                             
     y =             	

2)	The sum of a number, x, and another number, y, is 101.  The difference of x and y is 163.  Find x and y.
    											                             x =             	
													    
     y =             	

3)	The sum of a twice a number, x, and another number, y, is 1.  The difference of x and y is -0.25.  Find x and y.
    											                             x =             	
													     
                 y =             	

4)	The sum of five times a number, x, and another number, y, is 0.  The difference of x and y is 72.  Find x and y.
    											                             x =            	
													     
     y =            	

5)	The sum of half of a number, x, and another number, y, is -28.  The difference of x and y is 4.  Find x and y.
    											                             x =            	
													    
     y =            	

6)	The sum of a three times a number, x, and half of another number, y, is 96.  The difference of x and y is 60.  Find x and y.
    											                             x =           	
													    
     y =           	    

7)	The sum of twice a number, x, and twice another number, y, is 118.  The value of y is one less than twice the value of x.  Find x and y.
    											                             x =          	
													     
     y = _____       
						       
8)	The sum of a number, x, and the opposite of another number, y, is 66.  The difference of x and y is also 66.  Find x and y.
    											                             x =           	
													   
     y = _____    

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