Question

развяжите систему уравнений:

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| x^2 + y^2 - 2xy = 36

| x + y = -4

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Answer 1

 x^2 + y^2 - 2xy = 36

 x + y = -4

(x-y)^2=36

x+y=-4

1)x-y=6

x+y=-4

x=6+y

6+y+y=-4

6+2y=-4

2y=-10

y=-5

x=6+y

x=6+(-5)=6-5

x=1

2) x-y=-6

x+y=-4

x=y-6

y-6+y=-4

2y-6=-4

2y=-4+6

2y=2

y=1

x=y-6

x=1-6

x=-5

x1=1 y1=-5

x2=-5 y2=1