anonymous
  • anonymous
9|9 – 8x| = 2x + 3
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
begin by isolating the absolute value...
anonymous
  • anonymous
Whatever in the absolute value can be negative or positive |x| = 3 means x can equal 3 or -3
anonymous
  • anonymous
So what does that tell you about this equation?

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More answers

MathLegend
  • MathLegend
@trenvilla did you get the answer?
anonymous
  • anonymous
no
MathLegend
  • MathLegend
@trenvilla sorry for taking so long... however lets turn the absolute value symbols into parantheses.
anonymous
  • anonymous
ok 9(9 – 8x) = 2x + 3
MathLegend
  • MathLegend
Distribute
anonymous
  • anonymous
ok so (81+-72)=2x+3
anonymous
  • anonymous
is that right
MathLegend
  • MathLegend
81-72x=2x+3 (Personally, I hate writing +-)
MathLegend
  • MathLegend
So combine like terms... if I were you I would keep my 'x' positive.
anonymous
  • anonymous
ok so 84-74
MathLegend
  • MathLegend
No.
MathLegend
  • MathLegend
81-72x=2x+3 lets look at our 'x' values first.
MathLegend
  • MathLegend
Is 72 a negative or a positive?
anonymous
  • anonymous
pos
MathLegend
  • MathLegend
No, in this equation it has a minus sign in front of it right?
MathLegend
  • MathLegend
So in this case it is negative.
anonymous
  • anonymous
o ok
MathLegend
  • MathLegend
So how can we combine -72x and the positive 2x to keep the answer POSITIVE?
anonymous
  • anonymous
i dont no how
anonymous
  • anonymous
wont u have to make it -70
MathLegend
  • MathLegend
No, you can either make this positive 74 OR -74
MathLegend
  • MathLegend
Remember... if we had -72x = 2x If we combine we need the 'x' variable to be on one side of the equal sign
anonymous
  • anonymous
ok
MathLegend
  • MathLegend
Okay, so lets add -72x to the positive 2x
MathLegend
  • MathLegend
81 = 74x + 3
anonymous
  • anonymous
ok
MathLegend
  • MathLegend
Can you simplify this by combing the 81 and 3?
anonymous
  • anonymous
yes
MathLegend
  • MathLegend
So what do you get?
anonymous
  • anonymous
84=74x
MathLegend
  • MathLegend
No.
MathLegend
  • MathLegend
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
  • MathLegend
Which would keep your 'x' on one side and the regular number on the other side
anonymous
  • anonymous
o ya so 78+74x
MathLegend
  • MathLegend
78 = 74x
anonymous
  • anonymous
ya i ment =
MathLegend
  • MathLegend
then you divide and you get \[\frac{ 78 }{ 74}\]
MathLegend
  • MathLegend
simplify that and what do you get?
anonymous
  • anonymous
1.05'
anonymous
  • anonymous
ia thtat right
MathLegend
  • MathLegend
Simplify as a fraction
MathLegend
  • MathLegend
That is right as a decimal but you would ideally simplify to a fraction
anonymous
  • anonymous
1 4 over 74
MathLegend
  • MathLegend
Okay we have 78/74
MathLegend
  • MathLegend
So if I were you I would divide the numerator by 2 then the denominator by 2
anonymous
  • anonymous
39/37
MathLegend
  • MathLegend
That is your answer
anonymous
  • anonymous
thank you for all your help
anonymous
  • anonymous
|dw:1347162650237:dw|

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