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solve the system by the substitution method.
xy=9
x^2+y^2=82
xy=9 and x^2+y^2=82 we manipulate the first equation to get xy=9 divide both sides by x y=9/x subtitute y=9/x into x^2+y^2=82 x^2+(9/x)^2=82 x^2+81/x^2=82 multiply both sides by x^2 to get rid of the denomator (bottom number) x^4+81=82 subtract 81 from both sides x^4=1 find the fourth root of 1 and get x=1 subtitute into origoal equation xy=9 and get (1)y=9 y=9
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