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Maximillia Auer

Lvl 10
3y ago
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Wiki User

11y ago

Use a system of equations to solve.

xy = 30

x+y = 11

Use substitution to solve for y.

x = 11-y

(11-y) * y = 30

11y-y^2=30

y^2-11y+30=0

We can factorize this quadratic easily, by testing different values:

(y-6)(y-5)=0

y=6, 5

Substituting these y values back into x=11-y,

y=6 when x=5: y=5 when x=6

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Q: What multiplies to 30 and adds up to 11?
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