SOLUTION: 3|2a+5|+2|3-a| ; a=4

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Question 335484: 3|2a+5|+2|3-a| ; a=4
Answer by jim_thompson5910(28598) About Me  (Show Source):
You can put this solution on YOUR website!
3%2Aabs%282a%2B5%29%2B2%2Aabs%283-a%29 Start with the given expression.


3%2Aabs%282%284%29%2B5%29%2B2%2Aabs%283-4%29 Plug in a=4


3%2Aabs%288%2B5%29%2B2%2Aabs%283-4%29 Multiply


3%2Aabs%2813%29%2B2%2Aabs%28-1%29 Combine like terms.


3%2813%29%2B2%281%29 Evaluate the absolute values.


39%2B2 Multiply


41 Add


So 3%2Aabs%282%284%29%2B5%29%2B2%2Aabs%283-4%29=41


This means that 3%2Aabs%282a%2B5%29%2B2%2Aabs%283-a%29=41 when a=4