# SOLUTION: Graph both equations of eah system on the same coordinate axes. Use elimination of variables to find all pts of intersection. y = x^2 + 5x + 6 y = x + 11 Thanks

Algebra ->  Algebra  -> Quadratic-relations-and-conic-sections -> SOLUTION: Graph both equations of eah system on the same coordinate axes. Use elimination of variables to find all pts of intersection. y = x^2 + 5x + 6 y = x + 11 Thanks      Log On

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 Question 187837: Graph both equations of eah system on the same coordinate axes. Use elimination of variables to find all pts of intersection. y = x^2 + 5x + 6 y = x + 11 ThanksAnswer by stanbon(57347)   (Show Source): You can put this solution on YOUR website!Graph both equations of eah system on the same coordinate axes. Use elimination of variables to find all pts of intersection. y = x^2 + 5x + 6 y = x + 11 ------------------------- Subtract the 2nd equation from the 1st to solve for "x": 0 = x^2 + 4x - 5 ---- Factor: (x+5)(x-1) = 0 x = -5 or x = 1 --------------------------- If x= -5 then y = -5+11 = 6: point of intersection (-5,6) --- If x = 1 then y = 1+11 = 12; point of intersection (1,12) ------------------------------------------------------------------- ====================================================== Cheers, Stan H.