SOLUTION: please help me solve the following equations, 5x - 3 = 9x - 7 9n - 15 = 3(2n-1) 2(3b

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Question 580719: please help me solve the following equations, 5x - 3 = 9x - 7
9n - 15 = 3(2n-1)
2(3b + 5)- 1 = 10b + 1
I appreciate any help. Thank you.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
# 1
5x-3=9x-7 Start with the given equation.


5x=9x-7%2B3 Add 3 to both sides.


5x-9x=-7%2B3 Subtract 9x from both sides.


-4x=-7%2B3 Combine like terms on the left side.


-4x=-4 Combine like terms on the right side.


x=%28-4%29%2F%28-4%29 Divide both sides by -4 to isolate x.


x=1 Reduce.


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Answer:

So the solution is x=1

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# 2

9n-15=3%282n-1%29 Start with the given equation.


9n-15=6n-3 Distribute.


9n=6n-3%2B15 Add 15 to both sides.


9n-6n=-3%2B15 Subtract 6n from both sides.


3n=-3%2B15 Combine like terms on the left side.


3n=12 Combine like terms on the right side.


n=%2812%29%2F%283%29 Divide both sides by 3 to isolate n.


n=4 Reduce.


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Answer:

So the solution is n=4

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# 3

2%283b%2B5%29-1=10b%2B1 Start with the given equation.


6b%2B10-1=10b%2B1 Distribute.


6b%2B9=10b%2B1 Combine like terms on the left side.


6b=10b%2B1-9 Subtract 9 from both sides.


6b-10b=1-9 Subtract 10b from both sides.


-4b=1-9 Combine like terms on the left side.


-4b=-8 Combine like terms on the right side.


b=%28-8%29%2F%28-4%29 Divide both sides by -4 to isolate b.


b=2 Reduce.


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Answer:

So the solution is b=2