Question

Help me with this math problem

Answer 1

Weight of each large box
`x=15.75kg`

Weight of each small box
`y=13.75kg`

Explanation:

Given:- Two equations are given,

Equation 1 :-
`7x+9y=234`

Equation 2:-
`5x+3y=120`

let,

x=weight of large box in Kilogram.

y=weight of small box in Kilogram.

Now,

multiply Equation 1 by 2 and Equation 2 by 6,

So we get 2 new equations,

Equation 3:-
`14x+18y=468`

Equation 4:-
`30x+18y=720`

Now after subtracting Equation 3 from Equation 4 we will get a new equation,

i.e. Equation 5:-
`16x=252`

therefore
`x=15.75`

now, put the value of x in Equation 1, so we will get

`(7x15.75)+9y=234`

`110.75+9y=234`

`9y=234-110.75`

`9y=123.75`

`y=123.75/9`

`y=13.75`

So, weight of each large box i.e.
`x=15.75 kilogram`

and weight of each small box i.e.
`y=13.75 kilogram`