I am kinda confused on this can someone help me?

As you are leaving the community, you notice another new community just down the street. Because you are in the area, you decide to inquire about it.

The sales representative here tells you they also have two floor plans available, but they only have 38 homes available. Write an equation that illustrates the situation. Use x and y to denote floor plan #1 and floor plan #2 respectively.

The representative tells you that floor plan #1 sells for $175,000 and floor plan #2 sells for $200,000. She also mentions that all the available houses combined are worth $7,200,000. Write an equation that illustrates this situation. Use the same variables you used in part a.

Use elimination to determine how many houses with each floor plan are available. Explain how you arrived at your answer.

first equation : x + y = 38

second equation: 175000x + 200000y = 7200000 which reduces to 7x + 8y = 288

multiply the firs equation by 7

7x + 7y = 266
subtract that from the second equation

7x+8y = 288
7x+7y = 266
y = 22
sub back into the first equation
x + y = 38
x + 22 = 38
x = 16

3. You recently started the paperwork to purchase your new home, and you were just notified that you can move into the house in 2 weeks. You decide to hire a moving company, but are unsure which company to choose. You search online and are interested in contacting two companies, Heavy Lifters and Quick Move, to discuss their rates. Heavy Lifting charges an $80 fee plus $35 per hour. Quick Move charges $55 per hour with no additional fees.

4x^2-9=11

To represent the situation described, we can create the following equations:

Equation 1:
x + y = 38

This equation states that the total number of available houses (x + y) equals 38, where x represents the number of houses with floor plan #1 and y represents the number of houses with floor plan #2.

Equation 2:
175,000x + 200,000y = 7,200,000

This equation states that the total value of the available houses is $7,200,000, which can be achieved by multiplying the number of houses with each floor plan by the respective price.

To determine how many houses are available with each floor plan using elimination, we can follow these steps:

Step 1: Multiply Equation 1 by 175,000 to match the coefficient of x in Equation 2.
175,000x + 175,000y = 6,650,000

Step 2: Subtract the modified Equation 1 from Equation 2 (Equation 3).
(175,000x + 200,000y) - (175,000x + 175,000y) = 7,200,000 - 6,650,000

Simplifying Equation 3, we get:
25,000y = 550,000

Step 3: Solve for y by dividing both sides of Equation 3 by 25,000.
y = 550,000 / 25,000

Simplifying further, we find:
y = 22

Step 4: Substitute the value of y back into Equation 1 to solve for x.
x + 22 = 38

Subtracting 22 from both sides:
x = 38 - 22

Simplifying, we discover:
x = 16

Therefore, there are 16 houses available with floor plan #1 and 22 houses available with floor plan #2.