SOLUTION: I'm having problems solving this problem as a system of equations. Please help. Thanks. The sales representatives informs you that there are two floor plans available. There are

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Question 205551: I'm having problems solving this problem as a system of equations. Please help. Thanks.
The sales representatives informs you that there are two floor plans available. There are a total of 56 houses available.
Plan A is x+y=56 and Plan B is x+3y=56. Use substitution to determine how many of each type of floor plan is available, and what are the intercepts of the equation from x+y=56 and from x+3y=56. where would the lines intercept?
*this is so confusing to me, thanks.

Found 2 solutions by stanbon, Targetweek:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The sales representatives informs you that there are two floor plans available. There are a total of 56 houses available.
Plan A is x+y=56 and Plan B is x+3y=56. Use substitution to determine how many of each type of floor plan is available, and what are the intercepts of the equation from x+y=56 and from x+3y=56. where would the lines intersect?
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y = 56-x
Substitute into x + 3y = 56 to solve for "y":
x + 3(56-x) = 56
x + 168 - 3x = 56
2x = 112
x = 56
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Substitute into x + y = 56 to solve for "y":
y = 0
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I think there is something wrong with your posted problem.
Cheers,
Stan H.

Answer by Targetweek(62) About Me  (Show Source):
You can put this solution on YOUR website!
This should help and if it confuses you then message me and i'll give my own step by step version
Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
+system%28+%0D%0A++++1%5Cx+%2B+1%5Cy+=+56%2C%0D%0A++++1%5Cx+%2B+3%5Cy+=+56+%29%0D%0A++We'll use substitution. After moving 1*y to the right, we get:
1%2Ax+=+56+-+1%2Ay, or x+=+56%2F1+-+1%2Ay%2F1. Substitute that
into another equation:
1%2A%2856%2F1+-+1%2Ay%2F1%29+%2B+3%5Cy+=+56 and simplify: So, we know that y=0. Since x+=+56%2F1+-+1%2Ay%2F1, x=56.

Answer: system%28+x=56%2C+y=0+%29.