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04-01-2020
Mathematics

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If x =− 2 and x^2+y^2+3xy =-5 , then find y

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marcthemathtutor marcthemathtutor

04-01-2020

Answer:

y = 3

Step-by-step explanation:

Given:

x²+y²+3xy =-5 and x = -2

Substituting x=-2 into the equation:

(-2)² + y² + 3y(-2) = -5

4 + y² - 6y = -5

y² - 6y +4 + 5 = 0

y² - 6y +9 = 0 (solve by factorization)

(y-3) (y-3) = 0

y = 3

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