A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 4 large boxes and 8 small boxes has a total weight of 169 kilograms. A delivery of 2 large boxes and 3 small boxes has a total weight of 71 kilograms. How much does each type of box weigh?

weight of large box=15.250 kgm

wight of box=13.500 kgm.

Step-by-step explanation:

let weight of large box=x kgm

and weight of small box=y kgm.

4x+8y=169

2x+3y=71

multiply by 2

4x+6y=142

subtract from first

2y=27

y=27/2=13.500 kgm

4x+8(27/2)=169

4x+108=169

4x=169-108

4x=61

x=61/4=15.250 kgm

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .