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Pls helppp me , how much does each type of box weight ?

Pls helppp me , how much does each type of box weight ?-example-1

1 Answer

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Answer:

small box = 6kg

large box = 18.5kg

Explanation:

8 large + 3 small = 166kg

2 large + 5 small = 67kg

Our equations are:


8l+3s=166\\2l+5s=67

Multiply by -4 the second equation to make l eliminable.


(-4)(2l+5s=67)\\-8l-20s=-268

Now add both equations.


8l+3s=166\\-8l-20s=-268\\

-------------------------------------------


-17s=-102

Solve for s;


s=(-102)/(-17)\\s= 6

Now replace the value of s in any of your main equations to find l.


8l+3s=166\\8l+3(6)=166\\8l+18=166\\8l=166-18\\8l=148\\l=(148)/(8)\\ l=18.5

Now replace both l and s in the equations to find if they're the real values that satisfy the equation.


8(18.5)+3(6)=166\\148+18=166\\166=166


2l+5s=67\\2(18.5)+5(6)=67\\37+30=67\\67=67

Therefore we can conclude that these are the real values that satisfy the equations.

User Cyrlop
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