SOLUTION: how are these resolved 7y+4=-3, 5/2x-1=x+1/4 3(w+3)=2w+3 ______ 4

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Question 133205This question is from textbook algebra math 009
:
how are these resolved
7y+4=-3,
5/2x-1=x+1/4

3(w+3)=2w+3
______
4 This question is from textbook algebra math 009

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
# 1



7y%2B4=-3 Start with the given equation



7y=-3-4Subtract 4 from both sides


7y=-7 Combine like terms on the right side


y=%28-7%29%2F%287%29 Divide both sides by 7 to isolate y



y=-1 Divide

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Answer:
So our answer is y=-1








# 2



%285%2F2%29x-1=x%2B1%2F4 Start with the given equation



%284%29%28%285%2Fcross%282%29%29x-1%29=%284%29%28x%2B1%2Fcross%284%29%29 Multiply both sides by the LCM of 4. This will eliminate the fractions (note: if you need help with finding the LCM, check out this solver)



10x-4=4x%2B1 Distribute and multiply the LCM to each side



10x=4x%2B1%2B4Add 4 to both sides


10x-4x=1%2B4 Subtract 4x from both sides


6x=1%2B4 Combine like terms on the left side


6x=5 Combine like terms on the right side


x=%285%29%2F%286%29 Divide both sides by 6 to isolate x




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Answer:
So our answer is x=5%2F6 (which is approximately x=0.83333 in decimal form)





# 3




%283%28w%2B3%29%29%2F4=2w%2B3 Start with the given equation



%284%29%28%283%28w%2B3%29%29%2Fcross%284%29%29=%284%29%282w%2B3%29 Multiply both sides by the LCM of 4. This will eliminate the fractions (note: if you need help with finding the LCM, check out this solver)



3%28w%2B3%29=8w%2B12 Distribute and multiply the LCM to each side



3w%2B9=8w%2B12 Distribute again


3w=8w%2B12-9Subtract 9 from both sides


3w-8w=12-9 Subtract 8w from both sides


-5w=12-9 Combine like terms on the left side


-5w=3 Combine like terms on the right side


w=%283%29%2F%28-5%29 Divide both sides by -5 to isolate w



w=-3%2F5 Reduce

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Answer:
So our answer is w=-3%2F5 (which is approximately w=-0.6 in decimal form)