Consider three real numbers x, y, and z that satisfy this system of equations:
- x+y+z=5
- 1/(x+y) + 1/(y+z) +1/(z+x) =4/5
Find the value of x/(y+z) + y/(z+x)+ z/(x+y).
1--Multiply LHS of second equation by x+y+z and RHS by 5.
2--Notice LHS of simplified result is equal to expression to be evaluated and RHS = 1.
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Posted by xdog
on 2023-10-09 08:06:35 |