1a.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. 

……………(a) 

1b. 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. 

…………(b) 

1c. 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 used to solve the problem. 

……………(a)

…………(b)….substitute from this equation from (a)

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……………(a)

…………(b)….

1d. 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 systems by graphing?

the intercepts are: 

……………(a)…if ,  will be: 

……………………… so,  is (,) 

if ,  will be: 

…………….so,  is (,)