Solve the following system of equations

x² + y² = 2

y + 2x = -1

If more than one solution need them also

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y= -2x-1

x² + (-2x-1)² = 2

5x² +4x+1 =2

5x² +4x -1 =0

(x+1)(5x−1)=0

x= -1 or x = 1/5..................................ANSWER

WHEN x =- 1

y=1................................ANSWER

WHEN x = 1/5

y = (-2/5) -1

y= - 7/5............................ANSWER

ANSWER IS

x= -1 and y = 1

x= 1/5 and y = - 7/5

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