Can someone please help me on this math problem
Given \(\begin{align*} px+qy+rz&=1,\\ p+qx+ry&=z,\\ pz+q+rx&=y,\\ py+qz+r&=x,\\ p+q+r&=-3, \end{align*}\)FIND \(x+y+z\)
This question is easy.
Add the first 4 equations together
sum of left = sum of right
you will have
p( ...) +q(...) +r( ...) = (...)
factorize and take it from there
SO would that simplify to \(p(x+y+z)+q(x+y+z)+r(x+y+z)=1+x+y+z\)