Algebra

 

If a + b = -8 , and b + c = 3, and a + c = 5. Then what is a times b times c ?    

 

c + b = 3  

a + b = –8  

 

c – a = 11  

c + a = 5  

2c = 16   —>   c = 8  

 

c + b = 3  

8 + b = 3   —>   b = – 5  

 

a + c = 5  

a + 8 = 5   —>   a = –3  

 

Check a, b, & c values: 

a + b = –8   —>  –3 + (–5) = –8  

b + c = 3     —>   –5 + 8 = 3  

a + c = 5     —>   –3 + 8 = 5  

 

a • b • c = (–3) • (–5) • (8) = 120  

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