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kvasek [131]
3 years ago
11

The solution to the following system of linear equations lies in which quadrant? −2x + 3y = 8 4x + y = −2

Mathematics
1 answer:
sashaice [31]3 years ago
4 0
First, let's find the solution.

-2x + 3y = 8
Add 2x to both sides.
3y = 2x + 8
Divide both sides by 3.
y = 2/3x + 8/3

4x + 2/3x + 8/3 = -2
14/3x + 8/3 = -2
Subtract 8/3 from both sides.
14/3x = -14/3
Multiply both sides by 3/14.
x = -1

y = 2/3(-1) + 8/3
y = -2/3 + 8/3
y = 6/3, or 2.

The solution is (-1, 2) which lies in Quadrant II, because its outline is (-, +).
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Answer:

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Given the function h(d) = 2d + 4.3,

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<h3>h(1.5)</h3>

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<h3>h(10.3)</h3>

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<h3>Context of the solutions to h(1.5) and h(10.3):</h3>

The solutions to both functions show the relationship between the diameter of the pipe to the height of the water in a fountain.  The height of the water in fountain increases relative to the diameter of the pipe.  In other words, as the diameter or the size of the pipe increases or widens, the height of the water in a fountain also increases.  

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