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labwork [276]
2 years ago
8

The perimeter of a triangle is 64'. If one side is x feet, the second side is 3x + 1 feet and the third

Mathematics
1 answer:
Dominik [7]2 years ago
4 0
One side is 9.
second side (3x+1) is 28.
third side (4x-9) is 27.
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Answer: B) Infinitely many solutions; both equations are equivalent

==============================================================

Work Shown:

x+y = 4 ... start with the first equation

x + (-x+4) = 4 ... replace y with (-x+4)

x-x+4 = 4

0x+4 = 4

0+4 = 4

4 = 4 ... this is a true statement regardless of what x you pick

So there are infinitely many solutions. Each solution (x,y) is of the form (x,-x+4). All solutions fall on the line y = -x+4 which is equivalent to x+y = 4. Note how we add x to both sides.

Or you could start with x+y = 4 and subtract x from both sides to get y = -x+4. Either way, we're dealing with the same equation which is why they both graph out the same line.

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Step-by-step explanation:

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