Question

Help me with this math problem

Answer 1

Answer:

Weight of each large box $x=15.75kg$

Weight of each small box $y=13.75kg$

Step-by-step 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. $y=13.75 kilogram$