Question 751087
There are two unknowns in these equations.  We must eliminate one of the unknowns. We want to get rid of the x.  The lowest common multiple of 5x and 10x is 10x.  
     5x + 3y = 12
    10x – 2y = 8	multiply by 2

     10x + 6y =  24
     10x - 2y  = 8    	We must subtract these equations so we can get rid of the x's.  To do this we change the sign of the lower one and add
     10x + 6y =  24
    - 10x + 2y  = -8    
             8y =  16
                y = 2	

  ==> y=2   We plug this 2 in for Y on top equation *
5x + 3y = 12
5x + 3(2) = 12
x = 6/5
	
 ==> x = 6/5     The point of intersection is (6/5,2) 

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