SOLUTION: Please show me how to solve the problems such as: 4r -7 = 8r + 13, 5x - 8 = 6 - 2x, t/5 - 7 + 31 = 8(6-4), and 9-5(4-3) = -16 x/3 ("x over 3" and "t over 5 "). Than

Algebra ->  Equations -> SOLUTION: Please show me how to solve the problems such as: 4r -7 = 8r + 13, 5x - 8 = 6 - 2x, t/5 - 7 + 31 = 8(6-4), and 9-5(4-3) = -16 x/3 ("x over 3" and "t over 5 "). Than      Log On


   

Question 93330: Please show me how to solve the problems such as:
4r -7 = 8r + 13, 5x - 8 = 6 - 2x, t/5 - 7 + 31 = 8(6-4), and
9-5(4-3) = -16 x/3 ("x over 3" and "t over 5 ").
Thank you.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
"Solve 4r -7 = 8r + 13"




4r-7=8r%2B13 Start with the given equation


4r-7-8r=13 Subtract 8r from both sides


4r-8r=13%2B7Add 7 to both sides


-4r=13%2B7 Combine like terms 4r and -8r on the left side to get -4r


-4r=20 Combine like terms on the right side


r=%2820%29%2F%28-4%29 Divide both sides by -4 to isolate r



r=-5 Reduce

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Answer:
So our answer is r=-5




"Solve 5x - 8 = 6 - 2x"



5x-8=6-2x Start with the given equation


5x=6-2x%2B8Add 8 to both sides


5x%2B2x=6%2B8 Add 2x to both sides


7x=6%2B8 Combine like terms 5x and 2x on the left side to get 7x


7x=14 Combine like terms on the right side


x=%2814%29%2F%287%29 Divide both sides by 7 to isolate x



x=2 Reduce

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Answer:
So our answer is x=2




"Solve t/5 - 7 + 31 = 8(6-4)"

t%2F5+-+7+%2B+31+=+8%286-4%29

t%2F5+-+7+%2B+31+=+16 Simplify the right side

5%28t%2F5+-+7+%2B+31%29+=+5%2A16 Multiply both sides by 5

t-35%2B155=80 Distribute and multiply




t-35%2B155=80 Start with the given equation


t%2B155=80%2B35Add 35 to both sides


t=80%2B35-155Subtract 155 from both sides


t=-40 Combine like terms on the right side

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Answer:
So our answer is t=-40




"Solve 9-5(4-3) = -16 x/3"

4+=+-16+x%2F3 Distribute and simplify the left side

12=+-16x Multiply both sides by 3

%2812%29%2F%28-16%29=+x Divide both sides by -16

-3%2F4=+x Divide both sides by -16

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Answer:
So our answer is x=-3%2F4