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notsponge [240]
3 years ago
9

Find all solutions of the given system of equations and check your answer graphically. HINT [See Examples 1-4.] (If there is no

solution, enter NO SOLUTION. If the system is dependent, express your answer in terms of x, where y = y(x).)
3x − 4y= 4
9x − 12y= 12
Mathematics
1 answer:
Likurg_2 [28]3 years ago
3 0

Answer:

Infinitely\ many\ solutions\ exist.\\\\Solutions\ are\ (x,\frac{3}{4}x-1)

Step-by-step explanation:

Given\ equations\ are\\\\3x-4y=4.................eq(1)\\\\9x-12y=12..............eq(2)\\\\divide\ eq(2)\ by\ 3\\\\\frac{1}{3}(9x-12y=12)\\\\\Rightarrow 3x-4y=4\\\\Hence\ equations\ represent\ the\ same\ line.\\Hence\ Infinitely\ many\ solutions\ exist.\\\\3x-4y=4\\\\4y=3x-4\\\\y=\frac{3}{4}x-1\\\\Solutions\ are\ (x,\frac{3}{4}x-1)

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3 years ago
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Snezhnost [94]

Answer:

x = 28

Step-by-step explanation:

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3 years ago
The length of each side of a square is 6 feet more than the length of a side of a regular Octagon. The perimeter of the square i
goldfiish [28.3K]

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Answer:

  • square: 12 ft sides
  • octagon: 6 ft sides

Step-by-step explanation:

This problem can be worked in your head.

If the perimeters of the square and regular octagon are the same, the side length of the 4-sided square must be the same as the length of 2 sides of the 8-sided octagon. Since the side of the square is 6 ft more than the side of the octagon, each side of the octagon must be 6 ft, and each side of the square must be 12 ft.

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We can let s represent the side length of the octagon. Then we have ...

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These are equal, so ...

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The octagon has 6-ft sides; the square has 12-ft sides.

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Step-by-step explanation:

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