SOLUTION: 2K+5d=3d-4 What does K equal? -4(3a+c)=b What does a equal? 3m-5(m+t)=7(t+q) What does m equal?

Algebra ->  Algebra  -> Expressions-with-variables -> SOLUTION: 2K+5d=3d-4 What does K equal? -4(3a+c)=b What does a equal? 3m-5(m+t)=7(t+q) What does m equal?      Log On

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Question 121220: 2K+5d=3d-4 What does K equal?
-4(3a+c)=b What does a equal?
3m-5(m+t)=7(t+q) What does m equal?
Answer by jim_thompson5910(21685) About Me  (Show Source):
You can put this solution on YOUR website!
#1



2k%2B5d=3d-4 Start with the given equation



2k=3d-4-5dSubtract 5d from both sides


2k=-2d-4 Combine like terms on the right side


k=%28-2d-4%29%2F%282%29 Divide both sides by 2 to isolate k



k=%28-2d%29%2F%282%29-%284%29%2F%282%29 Break up the fraction


k=-d-2 Reduce


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Answer:
So our answer is k=-d-2




#2




-4%283a%2Bc%29=b Start with the given equation



-12a-4c=b Distribute


-12a=b%2B4cAdd 4c to both sides


a=%28b%2B4c%29%2F%28-12%29 Divide both sides by -12 to isolate a


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Answer:
So our answer is a=%28b%2B4c%29%2F%28-12%29





#3




3m-5%28m%2Bt%29=7%28t%2Bq%29 Start with the given equation



3m-5m-5t=7t%2B7q Distribute


-2m-5t=7t%2B7q Combine like terms on the left side


-2m=7t%2B7q%2B5tAdd 5t to both sides


-2m=12t%2B7q Combine like terms on the right side


m=%2812t%2B7q%29%2F%28-2%29 Divide both sides by -2 to isolate m


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Answer:
So our answer is m=%2812t%2B7q%29%2F%28-2%29