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) About Me  (Show Source):
You can put this solution on YOUR website!
1.

%283%2F4%29%287k-5%29=12 Start with the given equation



%284%29%28%283%2F4%29%287k-5%29%29=%284%29%2812%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%287k-5%29=48 Distribute and multiply the LCM to each side



21k-15=48 Distribute


21k=48%2B15Add 15 to both sides


21k=63 Combine like terms on the right side


k=%2863%29%2F%2821%29 Divide both sides by 21 to isolate k



k=3 Divide

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Answer:
So our answer is k=3



2.

5%283-x%29%3C3%28x-3%29 Start with the given inequality



15-5x%3C3x-9 Distribute



-5x%3C3x-9-15Subtract 15 from both sides


-5x-3x%3C-9-15 Subtract 3x from both sides


-8x%3C-9-15 Combine like terms on the left side


-8x%3C-24 Combine like terms on the right side


x%3E%28-24%29%2F%28-8%29 Divide both sides by -8 to isolate x (note: Remember, dividing both sides by a negative number flips the inequality sign)



x%3E3 Divide


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Answer:
So our answer is x%3E3





3x%2B2%3C5 Start with the given inequality


3x%3C5-2Subtract 2 from both sides


3x%3C3 Combine like terms on the right side


x%3C%283%29%2F%283%29 Divide both sides by 3 to isolate x



x%3C1 Divide

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Answer:
So our answer is x%3C1