SOLUTION: Solve for two equations 100x+95y+10z= 54(x+y+z) 95x+10y+5z= 33(x+y+z) How to find x,y,z? Answer should be: x=3, y=2, z=5

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Question 1157953: Solve for two equations
100x+95y+10z= 54(x+y+z)
95x+10y+5z= 33(x+y+z)
How to find x,y,z?
Answer should be: x=3, y=2, z=5

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!



........solve for


...........eq.1





........solve for


...........eq.2


from eq.1 and eq.2 we have

.......solve for






.............1a



go to ...........eq.2, substitute




.............1b


Real solution:



Integer solution:



=>since could be any number (because of fraction in real solution), integer solution is

, , , where element

if we start with , solution is , ,

check if statement is true if , , :




=>true

let's check if , solution is , ,



=>true



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