# SOLUTION: what do they mean by find the exact solutions of each system of equations: x^2+y^2=100 and y=2-x?

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 Question 193437: what do they mean by find the exact solutions of each system of equations: x^2+y^2=100 and y=2-x?Answer by stanbon(57410)   (Show Source): You can put this solution on YOUR website!what do they mean by find the exact solutions of each system of equations: x^2+y^2=100 and y=2-x? ---------------------------- They mean for you to find x/y pairs that make both equations true. ---------------------------- Substitute y = 2-x in the other equation to solve for "x": x^2 + (2-x)^2 = 100 x^2 + 4 -4x + x^2 = 100 2x^2-4x-96 = 0 x^2 -2x-48 = 0 (x-8)(x+6) = 0 x = 8 or x = -6 ------------------ If x = 8, y = 2-x = 6 giving you point (8,6) If x = -6, y = 2-x = 9 giving you point (-6,8) ==================================================== Cheers, Stan H.