SOLUTION: solve: -2+x > 8 solve:-14x< -42 solve:9-8y>-14 +7y +35 solve for a: 5a +6b = 7c

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Question 97208: solve: -2+x > 8
solve:-14x< -42
solve:9-8y>-14 +7y +35
solve for a: 5a +6b = 7c







Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
"solve: -2+x > 8"

-2%2Bx%3E8 Start with the given inequality


x%3E8%2B2Add 2 to both sides


x%3E10 Combine like terms on the right side

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Answer:
So our answer is x%3E10




"solve:-14x< -42"



-14x%3C-42 Start with the given inequality


x%3E%28-42%29%2F%28-14%29 Divide both sides by -14 to isolate x (note: dividing by both sides by a negative number flips the inequality sign)



x%3E3 Divide

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Answer:
So our answer is x%3E3





"solve:9-8y>-14 +7y +35"




9-8y%3E-14%2B7y%2B35 Start with the given inequality


9-8y%3E7y%2B21 Combine like terms on the right side


-8y%3E7y%2B21-9Subtract 9 from both sides


-8y-7y%3E21-9 Subtract 7y from both sides


-15y%3E21-9 Combine like terms on the left side


-15y%3E12 Combine like terms on the right side


y%3C%2812%29%2F%28-15%29 Divide both sides by -15 to isolate y (note: dividing by both sides by a negative number flips the inequality sign)



y%3C-4+%2F+5 Reduce

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Answer:
So our answer is y%3C-4+%2F+5 (which is y%3C-0.8 in decimal form)







"solve for a: 5a +6b = 7c "




5a%2B6b=7c Start with the given equation


5a=7c-6bSubtract 6b from both sides


a=%287c-6b%29%2F%285%29 Divide both sides by 5 to isolate a


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Answer:
So our answer is a=%287c-6b%29%2F%285%29