Mary and Laura's CookiesPro Problems > Math > Algebra > Equations > Systems of Equations > Non-Linear
Mary and Laura's Cookies
Mary and Laura Ingalls each receive a cookie. Because they are thoughtful children, they want to share with their little sister Carrie. Because their math skills aren't very advanced, they each eat half of a cookie, but then realize that leaves a full cookie for Carrie.
How much should each girl eat in order to share equally among the three sisters?
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The sum of a number and twice another number is ten less than the product of the numbers. The sum of the numbers is ten. What are all possible numbers that satisfy these criteria?
Solve for m and n.
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3x - y = 10
x2 + 8x - y2 + 3y = 17
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(x + 2)(x - 1) = (y - 12)(y + 3)
(x + 1)(x + 3) = (y - 5)(y - 7)
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x(x - 2y) - 4 = 2y(x - 2y)
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