There are a total of 50 houses with two floor plans. use x to repre4sent floor plan 1 and y to represent flor plan 2 write an equation. The second floor plan has 4 times as many homes than the firs pla. Write an equation to illustrate this situation using the same variables in first equation.

To write an equation representing the situation, we can start by using the variable x to represent the number of houses with the first floor plan and y to represent the number of houses with the second floor plan.

From the problem, we know that there are a total of 50 houses with two floor plans. So, our first equation would be:

x + y = 50

Now, we also know that the second floor plan has 4 times as many homes as the first floor plan. This means that the number of houses with the second floor plan (y) is four times the number of houses with the first floor plan (x). To express this relationship, we can write another equation:

y = 4x

So, the second equation to illustrate the situation is: y = 4x.

Now, we have two equations to represent the given situation:
1) x + y = 50
2) y = 4x