SOLUTION: I really need some help solving this word problem. I have answered parts a & b but not sure if the answers I gave are correct. Part c. I do not understand how to do. Would someo

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Question 166729: I really need some help solving this word problem. I have answered parts a & b but not sure if the answers I gave are correct. Part c. I do not understand how to do. Would someone mind please helping me out on this one...I would so appreciate it lots!!! Thank you!

****I answered part a. as ....x+y(3)=56 and part b. as ....x+y=56
not sure if these are the correct answers but these answers are needed in order to answer part c. and part d*****

1. Suppose you are in the market for a new home and are interested in a new housing community under construction in a different city
a) The sales representative informs you that there are two floor plans still available, and that there are a total of 56 houses available. Use x to represent floor plan #1 and y to represent floor plan #2. Write an equation that illustrates the situation.
b) The sales representative later indicates that there are 3 times as many homes available with the second floor plan than the first. Write an equation that illustrates this situation. Use the same variables you used in part a.
c) Use the equations from part a and b of this exercise as a system of equations. Use substitution to determine how many of each type of floor plan is available. Describe the steps you used to solve the problem.
d) What are the intercepts of the equation from part a of this problem? What are the intercepts from part b of this problem? Where would the lines intersect if you solved the system by graphing?

Answer by vleith(2983) (Show Source):
You can put this solution on YOUR website!
a) The sales representative informs you that there are two floor plans still available, and that there are a total of 56 houses available. Use x to represent floor plan #1 and y to represent floor plan #2. Write an equation that illustrates the situation.
Let X be the first floor plan and Y be the second floor plan. There are 56 total

b) The sales representative later indicates that there are 3 times as many homes available with the second floor plan than the first. Write an equation that illustrates this situation. Use the same variables you used in part a.

c) Use the equations from part a and b of this exercise as a system of equations. Use substitution to determine how many of each type of floor plan is available. Describe the steps you used to solve the problem.

d) What are the intercepts of the equation from part a of this problem? What are the intercepts from part b of this problem? Where would the lines intersect if you solved the system by graphing?
Use
So b=56

So b = 0