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kenny6666 [7]
3 years ago
7

Justify each step used to simplify the expression (3 - 2)x + 2y + 2

Mathematics
1 answer:
Natali5045456 [20]3 years ago
3 0

(3 - 2)x + 2y + 2 \\  = 3x - 2x + 2y + 2 \\ =  x + 2y + 2
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<h2>w = -8</h2>

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Given the equation solved by Ernesto expressed as \sqrt{\dfrac{1}{2}w+8}=-2, the extraneous solution obtained by Ernesto is shown below;

\sqrt{\dfrac{1}{2}w+8}=-2\\\\square\ both \ sides \ of \ the \ equation\\(\sqrt{\dfrac{1}{2}w+8})^2=(-2)^2\\\\\dfrac{1}{2}w+8 = 4\\\\Subtract \ 8 \ from \ both \ sides\\\\\dfrac{1}{2}w+8 - 8= 4- 8\\\\\dfrac{1}{2}w= -4\\\\multiply \ both \ sides \ by \ 2\\\\\dfrac{1}{2}w*2= -4*2\\\\w = -8

Hence, the extraneous solution that Ernesto obtained is w = -8

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