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malfutka [58]
3 years ago
15

Explain how to solve one absolute value equation by writing it as two equations.

Mathematics
1 answer:
ddd [48]3 years ago
5 0
If you have
|a|=b, then solve for the variable in euations
a=b and a=-b
for ineqalities, it is much trickier

for
|a|>b, assume a>b and a<-b
for
|a|<b, asssume -b<a<b
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wlad13 [49]

It will be a negative.

for an example: -20 for x would mqke 2x + 1 into -39 and 8x + 5 into -155. that's 116 apart, so maybe -2(8) + 5 = -11

-2(2) + 1 = -3

but that's only 8 apart, so it'd be higher.

-4(2) + 1 = -7

-4(8) + 5 = -27

BOOM

Tadaaaa,

You probably thought positive, but sometimes it's negative, you know what I mean?

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3 years ago
<img src="https://tex.z-dn.net/?f=2x-7y%3D9%5C%5Cx%2B2y%3D10" id="TexFormula1" title="2x-7y=9\\x+2y=10" alt="2x-7y=9\\x+2y=10" a
coldgirl [10]

Answer:

x=8 y=1

Step-by-step explanation:

you have first and second equation, YOU MUST FIND THE THIRD EQUATION

<em><u>SOLUTION</u></em><em><u> </u></em>

<em><u> </u></em><em><u>FIND</u></em><em><u> </u></em><em><u>equation</u></em><em><u> </u></em><em><u>3</u></em><em><u> </u></em><em><u>from</u></em><em><u> </u></em><em><u>2</u></em>

<em><u>x</u></em><em><u>+</u></em><em><u>2y</u></em><em><u>=</u></em><em><u>10</u></em>

<em><u>x</u></em><em><u>=</u></em><em><u>10-2y</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>3</u></em>

<em><u> </u></em><em><u>Substitute</u></em><em><u> </u></em><em><u>equation</u></em><em><u> </u></em><em><u>3</u></em><em><u> </u></em><em><u>from</u></em><em><u> </u></em><em><u>first</u></em><em><u> </u></em><em><u> </u></em><em><u>(</u></em><em><u>not</u></em><em><u> </u></em><em><u>from</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>equation</u></em><em><u> </u></em><em><u>where</u></em><em><u> </u></em><em><u>you</u></em><em><u> </u></em><em><u>got</u></em><em><u> </u></em><em><u>equation</u></em><em><u> </u></em><em><u>3</u></em><em><u>)</u></em>

2 (10-2y)-7y=9

20-4y-7y=9

-11y=9-20

-11y= -11

-11y/-11= -11/-11

y=1

<em><u>Find</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>value</u></em><em><u> </u></em><em><u>of</u></em><em><u> </u></em><em><u>x</u></em><em><u> </u></em><em><u>from</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>third</u></em><em><u> </u></em><em><u>equation</u></em><em><u> </u></em>

<em><u>x</u></em><em><u>=</u></em><em><u>10</u></em><em><u>-</u></em><em><u>2</u></em><em><u> </u></em><em><u>(</u></em><em><u>1</u></em><em><u>)</u></em>

<em><u>x</u></em><em><u>=</u></em><em><u>8</u></em>

6 0
3 years ago
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