## anonymous 4 years ago 9|9 – 8x| = 2x + 3

1. anonymous

begin by isolating the absolute value...

2. anonymous

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

3. anonymous

4. MathLegend

@trenvilla did you get the answer?

5. anonymous

no

6. MathLegend

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

7. anonymous

ok 9(9 – 8x) = 2x + 3

8. MathLegend

Distribute

9. anonymous

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

10. anonymous

is that right

11. MathLegend

81-72x=2x+3 (Personally, I hate writing +-)

12. MathLegend

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

13. anonymous

ok so 84-74

14. MathLegend

No.

15. MathLegend

81-72x=2x+3 lets look at our 'x' values first.

16. MathLegend

Is 72 a negative or a positive?

17. anonymous

pos

18. MathLegend

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

19. MathLegend

So in this case it is negative.

20. anonymous

o ok

21. MathLegend

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

22. anonymous

i dont no how

23. anonymous

wont u have to make it -70

24. MathLegend

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

25. MathLegend

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

26. anonymous

ok

27. MathLegend

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

28. MathLegend

81 = 74x + 3

29. anonymous

ok

30. MathLegend

Can you simplify this by combing the 81 and 3?

31. anonymous

yes

32. MathLegend

So what do you get?

33. anonymous

84=74x

34. MathLegend

No.

35. 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

36. MathLegend

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

37. anonymous

o ya so 78+74x

38. MathLegend

78 = 74x

39. anonymous

ya i ment =

40. MathLegend

then you divide and you get $\frac{ 78 }{ 74}$

41. MathLegend

simplify that and what do you get?

42. anonymous

1.05'

43. anonymous

ia thtat right

44. MathLegend

Simplify as a fraction

45. MathLegend

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

46. anonymous

1 4 over 74

47. MathLegend

Okay we have 78/74

48. MathLegend

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

49. anonymous

39/37

50. MathLegend

51. anonymous

thank you for all your help

52. anonymous

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