solve the system by the substitution method x y 3 y x2 7

solve the system by the substitution method.

x + y = 3

y = x^2 - 7x + 11

The solution set is ____

There is no solution

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Given

x + y = 3 => y = 3 - x

y = x^2 - 7x + 11

3 - x = x^2 - 7x + 11

x^2 - 6x + 8 = 0

x^2 - 4x - 2x + 8 = 0

(x - 2)(x - 4 ) = 0

x = 2,4

=> y = 3 - x

when x = 2

y = 1

when x = 4

y = -1

solution