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marshall27 [118]
3 years ago
11

3x - 4y = -15 ; 4x +3y =5

Mathematics
1 answer:
Kipish [7]3 years ago
4 0
Using elimination method to find y
3x - 4y = -15  (multiply 4)
4x + 3y = 5    (multiply 3)
------------------------------------
12x - 16y = -60
12x + 9y  = 15
--------------------- - (substract)
         -25y = -75
               y = 3

Using subtitution method to find x
3x - 4y = -15
3x - 4(3) = -15
3x - 12 = -15
3x = -3
x = -1

The solution (-1,3)
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Liono4ka [1.6K]

Answer:

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Step-by-step explanation:

Recall that given a function f(x,y,z) then \nabla f = (\frac{\partial f}{\partial x},\frac{\partial f}{\partial y},\frac{\partial f}{\partial z}). To find f, we will assume it exists and then we will find its form by integration.

First assume that F = \nabla f. This implies that

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This implies that \frac{\partial g}{\partial y}=0, which means that g depends on z only. So f(x,y,z) = xy^2\sin(z) + g(z)

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So \int_C F \cdot dr =0

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