Suppose you are in the market for a new home and are interested in a new housing community under construction in a another city.a) The sales representative later shows that there are 3 times as more homes available with the second floor plan than the first. Write an equation that shows this situation. Use the same variables you used in part a.b) Use the equations from part (a )and (b )of this exercise as a system of equations. Use substitution to explain how many houses of each type of floor plan is available. Describe the steps you used to solve the problem.c) 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?