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y=−x(x+6)+18y=-x(x+6)+18\newliney=−7x+12y=-7x+12\newlineif a,ba,b is a solution to the system of equations shown and b<0b<0 what is the value of aa

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Q. y=−x(x+6)+18y=-x(x+6)+18\newliney=−7x+12y=-7x+12\newlineif a,ba,b is a solution to the system of equations shown and b<0b<0 what is the value of aa
  1. Set Equations Equal: Set the two equations equal to each other to find the xx-coordinate of the intersection point.\newliney=−x(x+6)+18y = -x(x + 6) + 18\newliney=−7x+12y = -7x + 12\newlineSo, −x(x+6)+18=−7x+12-x(x + 6) + 18 = -7x + 12
  2. Simplify Equation: Simplify the equation by distributing the negative sign and combining like terms. −x2−6x+18=−7x+12-x^2 - 6x + 18 = -7x + 12
  3. Move Terms: Move all terms to one side to set the equation to zero. −x2−6x+18+7x−12=0-x^2 - 6x + 18 + 7x - 12 = 0
  4. Combine Like Terms: Combine like terms to simplify the equation. −x2+x+6=0-x^2 + x + 6 = 0

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