trenvilla
99 – 8x = 2x + 3



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juantweaver
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begin by isolating the absolute value...

Denebel
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Whatever in the absolute value can be negative or positive
x = 3 means x can equal 3 or 3

Denebel
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So what does that tell you about this equation?

MathLegend
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@trenvilla did you get the answer?

trenvilla
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no

MathLegend
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@trenvilla sorry for taking so long... however lets turn the absolute value symbols into parantheses.

trenvilla
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ok
9(9 – 8x) = 2x + 3

MathLegend
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Distribute

trenvilla
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ok so (81+72)=2x+3

trenvilla
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is that right

MathLegend
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8172x=2x+3 (Personally, I hate writing +)

MathLegend
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So combine like terms... if I were you I would keep my 'x' positive.

trenvilla
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ok
so 8474

MathLegend
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No.

MathLegend
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8172x=2x+3
lets look at our 'x' values first.

MathLegend
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Is 72 a negative or a positive?

trenvilla
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pos

MathLegend
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No, in this equation it has a minus sign in front of it right?

MathLegend
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So in this case it is negative.

trenvilla
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o ok

MathLegend
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So how can we combine 72x and the positive 2x to keep the answer POSITIVE?

trenvilla
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i dont no how

trenvilla
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wont u have to make it 70

MathLegend
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No, you can either make this positive 74 OR 74

MathLegend
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Remember... if we had 72x = 2x
If we combine we need the 'x' variable to be on one side of the equal sign

trenvilla
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ok

MathLegend
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Okay, so lets add 72x to the positive 2x

MathLegend
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81 = 74x + 3

trenvilla
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ok

MathLegend
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Can you simplify this by combing the 81 and 3?

trenvilla
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yes

MathLegend
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So what do you get?

trenvilla
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84=74x

MathLegend
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No.

MathLegend
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You had a 81 and a positive 3 on the other side of the equal sign to get the 3 to the opposite side you want to subtract 3

MathLegend
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Which would keep your 'x' on one side and the regular number on the other side

trenvilla
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o ya
so 78+74x

MathLegend
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78 = 74x

trenvilla
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ya i ment =

MathLegend
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then you divide and you get \[\frac{ 78 }{ 74}\]

MathLegend
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simplify that and what do you get?

trenvilla
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1.05'

trenvilla
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ia thtat right

MathLegend
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Simplify as a fraction

MathLegend
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That is right as a decimal but you would ideally simplify to a fraction

trenvilla
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1 4 over 74

MathLegend
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Okay we have 78/74

MathLegend
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So if I were you I would divide the numerator by 2 then the denominator by 2

trenvilla
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39/37

MathLegend
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That is your answer

trenvilla
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thank you for all your help

Denebel
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dw:1347162650237:dw