Question 683710
You derived two equations from the problem:
x+y=11 (equation 1)
x^2 +y^2=61  (equation 2)
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Then, you solved equation 1 for y:
y=11-x
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NOW, you substitute the above into equation 2 and solve for x:
x^2 +y^2=61
x^2 +(11-x)^2=61
x^2 +(11-x)(11-x)=61
x^2 + 121 - 22x + x^2=61
2x^2 + 121 - 22x = 61
2x^2 - 22x + 121 = 61
2x^2 - 22x + 60 = 0
x^2 - 11x + 30 = 0
(x-5)(x-6) = 0
x = {5, 6}
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to find y, substitute above back into:
y=11-x
y = {6, 5}
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answers:
x=5 and y=6
OR
x=6 and y=5