Afruit company delivers its fruit in two types of boxes: large and small. a delivery of 9 large boxes and 7 small boxes has a total weight of 216 kilograms. a delivery of 3 large boxes and 5 small boxes has a total weight of 90 kilograms. how much does each type of boxes weigh?

The weight of the larger box is 18.75 kg

The weight of the small box is 6.75 kg

Step-by-step explanation:

Let

x -----> the weight of large box

y ----> the weight of small box

we know that

The system of equations is equal to

9x+7y=216 -----> equation A

3x+5y=90 -----> equation B

Solve the system of equations by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The solution is the point (18.75,6.75)

therefore

The weight of the larger box is 18.75 kg

The weight of the small box is 6.75 kg

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 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.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

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

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.