# Linear equations algebra

posted by
**Aleta**
.

a) 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. X + Y = 38

b) 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.

175,000x + 200,000y = 7,2000,000

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