SOLUTION: please help me solve these problems: 3/4 (7k - 5)=12 5(3-x)< 3(x-3) 3x + 2 < 5

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Question 104700: please help me solve these problems:
3/4 (7k - 5)=12
5(3-x)< 3(x-3)
3x + 2 < 5

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

Start with the given equation



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)



Distribute and multiply the LCM to each side



Distribute


Add 15 to both sides


Combine like terms on the right side


Divide both sides by 21 to isolate k



Divide

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Answer:
So our answer is




2.

Start with the given inequality



Distribute



Subtract 15 from both sides


Subtract 3x from both sides


Combine like terms on the left side


Combine like terms on the right side


Divide both sides by -8 to isolate x (note: Remember, dividing both sides by a negative number flips the inequality sign)



Divide


--------------------------------------------------------------
Answer:
So our answer is






Start with the given inequality


Subtract 2 from both sides


Combine like terms on the right side


Divide both sides by 3 to isolate x



Divide

--------------------------------------------------------------
Answer:
So our answer is

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