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If $3a + b + c = -3, a+3b+c = 9, a+b+3c = 19$ then find $abc$.

 Mar 16, 2021
 #1
avatar+32405 
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Add the three equations together to get

 

5(a + b + c) = 25  so   a + b + c = 5

 

Write the first equation as  2a + (a + b + c) = -3   so 2a + 5 = -3   or a = -4

 

Write the other two equations in a similar manner to find b and c, then multiply the three values together.

 Mar 16, 2021

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