\(\ Start \ with \ the \ original \ equation\)
\(y=-x^2+9x-18\)
\(-x^2-5x-4=-x^2+9x-18\)
\(\ Solve \ for \ x\)
\(-x^2-5x-4=-x^2+9x-18\)
\(-5x-4=9x-18\) \(\ Cancel \ -x2 \ on \ both \ sides\)
\(-4=9x-18+5x\) \(\ Add \ 5x \ to \ both \ sides\)
\(-4=(9x+5x)-18\) \(\ Gather \ like \ terms\)
\(-4=14x-18\)
\(-4+18=14x\) \(\ Add \ 18 \ to \ both \ sides\)
\(14=14x\)
\(14 / 14=14x / 14\) \(\ Divide \ by \ 14\)
\(x=1\) \(Answer\)
\(\ Substitute \ x=1\)
\(y=-1x^2-5x-4\)
\(y=-12-5*1-4\)
\(y = -10\) \(Answer\)
___________________________
\(x=1
y=-10\) \(Solution\)
