+0

# System

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159
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If a+b = 8, b+c = -3, and a+c = -5 +b, what is the value of the product abc?

Jan 9, 2022

#1
+675
0

a * b * c = -2660/27

Jan 9, 2022
#2
+361
+1

My shot:

$$2a+2b+2c=b$$

$$a+b+c=\frac{b}{2}$$

$$-\frac{b}{2}=-5+b$$

$$-5=-\frac{3b}{2}$$

$$-10=3b$$

$$b=-\frac{10}{3}$$

$$a=\frac{34}{3}$$

$$c=-\frac{59}{3}$$

$$a\times b\times c=\frac{20060}{9}$$

huh, straight we got different answers......

Jan 9, 2022