Enter an equation in standard form to model the linear situation. a pool that is being drained contained 16,000 gallons of water. after 2 hours, 12,500 gallons of water remain.

Equation in standard form to model the linear situation is :

1750x + y = 16000

Step-by-step explanation:

Volume of water in container = 16,000 gal

Volume of water in container after 2 hours  = 12,500 gal

Consider time when container was filled with 16,000 gallons of water be 0 hour.

T(Hour)      Volume of water left

0                   16,000 gal

2                   12,500 gal

Now , we have two coordinates , from which we can easily determine the equation of this situation:

Equation in standard form to model the linear situation is :  (Ax+By=C)

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'.

answer: 72: 111

step-by-step explanation: