Vacation Costs - Your family is planning a 7-day vacation in Florida. You estimate that it will cost $275 per day in Tampa and $400 per day in Orlando. Your total budget for the 7-days is $2,300. How many days do you spend in each location? Systems of equations only

3 days in Orlando and 4 days in Tampa

Step-by-step explanation:

Represent Tampa with T and Orlando with L

Given

Required

Solve for T and L

We start by representing the given data, algebraically;

In terms of days:

In terms of cost:

Make T the subject in (1)

Substitute in (2)

Collect Like Terms

Divide through by 125

Recall that

This implies 3 days in Orlando and 4 in Tampa

answer: what

step-by-step explanation:

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'.