I'm struggling with the equations for the following problem:

Question

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.

The answer that I got was x+y=56

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.

The answer to this one, that I got, is:
x+3y=56

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.

This is where I am stuck. If I did any of the equations wrong, can you please correct me so that I can get the right answer.

Thanks

Answer 1

your first equation is correct,
your second equation should be
y = 3x

your equation translated into English would say,
" the sum of #1 plan houses plus 3 times the #2 plan houses is a total of 56"

now sub in y = 3x into the first equation