SOLUTION: I am having difficulty solving the following equations for review assignment in prep for my new geometry class Mon. #1. 5(6-4v)=v+21 #2 6x-5=7-9x #3 -4(6y-5)=23-3(8y+1)

Algebra ->  Equations -> SOLUTION: I am having difficulty solving the following equations for review assignment in prep for my new geometry class Mon. #1. 5(6-4v)=v+21 #2 6x-5=7-9x #3 -4(6y-5)=23-3(8y+1)      Log On


   

Question 207575: I am having difficulty solving the following equations for review assignment in prep for my new geometry class Mon.
#1. 5(6-4v)=v+21
#2 6x-5=7-9x
#3 -4(6y-5)=23-3(8y+1)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'll do the first two to get you going.

# 1


5%286-4v%29=v%2B21 Start with the given equation.


30-20v=v%2B21 Distribute.


-20v=v%2B21-30 Subtract 30 from both sides.


-20v-v=21-30 Subtract v from both sides.


-21v=21-30 Combine like terms on the left side.


-21v=-9 Combine like terms on the right side.


v=%28-9%29%2F%28-21%29 Divide both sides by -21 to isolate v.


v=3%2F7 Reduce.


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Answer:

So the solution is v=3%2F7 which approximates to v=0.429.




# 2


6x-5=7-9x Start with the given equation.


6x=7-9x%2B5 Add 5 to both sides.


6x%2B9x=7%2B5 Add 9x to both sides.


15x=7%2B5 Combine like terms on the left side.


15x=12 Combine like terms on the right side.


x=%2812%29%2F%2815%29 Divide both sides by 15 to isolate x.


x=4%2F5 Reduce.


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Answer:

So the solution is x=4%2F5 which in decimal form is x=0.8.