Question

Sorry I was called out for a moment, abigail2010 or tryeo, if still here, I only have one question, that is why I do not understand using substitution. My problem is, there is 56 houses for sale with two floor plans. I am to use x to represent floor plan one, and y for floor plan two. Then there is 3 times as many homes available with floor plan two, and I am to figure out how many of each floor plans are avaailable using the substitution I am confused and would like someone to explain this to me ste by step if possible cause I want to learn

Answer 1

56 = x + y right? this is the total number of houses for sale.
let x be plan 1 and let y be plan 2.
You know that there are 3 times as much homes with 2 than 1, so you know that y = 3x,
Substitute 3x into y in the orignal equation, (56 = x +y) and you will get (56 = x+3x)
Solve for x and you will get 14.

Answer 2

when you substitute what exactly are you doing, like why is 56 = x + 3x, what happened to y

Answer 3

y is equal to 3x.... that was given.. So you can substitute y as 3x.

Answer 4

It is like when I am counting fruits... In one basket I have 3 apples, and in basket number 2 I have 5 oranges. 3 apples = 3 fruits, and 5 oranges = 5 fruits. So the total number of fruits is 8, or if you wanted to know which types there are, it would be 5 oranges and 3 apples. The variables are interchangeable.

Answer 5

ok I think I am understanding it a bit more thank you, I am so lost in this math,

Answer 6

Try it with another problem.. Just understand that If there is an equal sign between two sides, the two sides are equal and therefore you can use them interchangeably.

Answer 7

This is where I get confused, I do not comprehend writing out the equation in the proper way. Like I can figure it in my head, but it is not the proper way If you understand what I mean. For me, should I first combine the x's and make the equation 56 = 4x

Answer 8

then divide each side by 4

Answer 9

Yes that is what you should do... As long as you know the y can be written as 3x.

Answer 10

You got it.

Answer 11

Oh yes it just hit me!! Thank you

Answer 12

Now I am being asked to find the intercepts from part a of this problem which is x + y = 56, then the intercepts from part b, x + 3y =56, then to see where the lines ould intersect if I graph this, the first is to find x right?

Answer 13

I guess.. I'm not sure I get the question.

Answer 14

What are the intercepts of this equation, which it is asking the intercepts to graph,