Question

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

Answer 1

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.