x+y=26; xy=153. solve for x & y?

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x + y = 26 ---(1)

xy = 153 ---(2)

From equation (1)

y = 26 - x ---(3)

Substitute y from equation (3) in equation (2)

x(26 - x) = 153

Substitute x=17 in equation (3)

y = 26 - 17 = 9

Substitute x=9 in equation (3)

y = 26 - 9 = 17

So the solution is (17, 9) and (9, 17).

These are the points at which the line and the curve intersect.

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