Name________________________

                                         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 62.  y is 16 less than x.  Find x and y.
       x + y = 62					   				                             x =  39    	
       y = x - 16									                             
     y =  23    	
	
2)	The sum of a number, x, and another number, y, is 138.  y is 36 more than x.  Find x and y.
    											                             x =  87   	
													    
     y =  51    	

3)	The sum of a twice a number, x, and another number, y, is 88.  x is 14 more than twice the value of y.  Find x and y.												     x =  38   	
													     
     y =  12    	

4)	The sum of five times a number, x, and another number, y, is 326.  The difference of x and three times the value of y is 2.  Find x and y.									     x =  61   	
													     
     y =  21    	

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

6)	The sum of a three times a number, x, and twice another number, y, is 6.  x is 12 more than y.  Find x and y.
    											                             x =   6    	
													     
     y =  -6    	    

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 -21.  y is 3 more than three times the value of x.  Find x and y.				   				                             x =   9   	
													     
     y =  30    

www.imathworksheets.com