SOLUTION: I am taking classes with the University of Phoenix and this semester I have algebra. The problems is. -2/7x=6/35. I know that you need to multiply both sides by -7/2, and I know t

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: I am taking classes with the University of Phoenix and this semester I have algebra. The problems is. -2/7x=6/35. I know that you need to multiply both sides by -7/2, and I know t      Log On


   



Question 366514: I am taking classes with the University of Phoenix and this semester I have algebra. The problems is. -2/7x=6/35. I know that you need to multiply both sides by -7/2, and I know that the answer should be -42/70, but they want me to simplify the answer and I just don't undersand where this magical number is supposed to come from. Help!!!!
Found 4 solutions by Fombitz, Alan3354, stanbon, ewatrrr:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
42 and 70 both have 2 and 7 as factors which means you can simplify.
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%28-2%2F7%29x=6%2F35
x=-%287%2F2%29%28%282%2A3%29%2F%285%2A7%29%29
x=-%28cross%287%29%2Fcross%282%29%29%28%28cross%282%29%2A3%29%2F%285%2Across%287%29%29%29
highlight%28x=-%283%2F5%29%29

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
-2/7x=6/35
times -7/2
x = -42/70
----------
42 = 3*14
70 = 5*14
--> x = -3/5

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
I am taking classes with the University of Phoenix and this semester I have algebra. The problems is. -2/7x=6/35. I know that you need to multiply both sides by -7/2, and I know that the answer should be -42/70, but they want me to simplify the answer and I just don't undersand where this magical number is supposed to come from. Help!!!!
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(-2/7) x= 6/35
---
x = (6/35)(-7/2)
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You have a factor of 2 in the numerator and in the denominator.
You have a factor of 7 in the numerator and in the denominator.
--
2/2 = 1
7/7 = 1
---
So the right side can be written as:
x = (2*3)/(5*7)(-7/2)
x = (2/2)(7/7)(-3/5)
x = 1*1*-3/5
x = -3/5
============
Cheers,
Stan H.
x = -3/5

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi,
*Note: As we know, there is no 'magic' in the discipline of mathematics :)
which means, there are no surprises either!
%28-7%2F2%29%28-2%2F7%29x+=+%28-7%2F2%29%286%2F35%29=+-42%2F70+
x = -42/70
Great job! getting this far.
simplifying further
x = -42/70
dividing both numerator and denominator by 2
x = -21/35