Автор - mashanot23

Помогитерешить, плиз. Даю 10 балов​

Ответ

Автор - Itroller

Ответ:

1)x=2, y=-1; 2)x=3, y=5; 3) x_{1}=5, y_{1}=7; x_{2}=-7, y_{2}=-5

Объяснение:

1)left { {{4x+3y=5} atop {y-2x=-5}} right. left { {{4x+3y=5} atop {y=-5+2x}} right.left { {{4x+3(-5+2x)=5} atop {y=-5+2x}} right.  left { {{10x-15=5} atop {y=-5+2x}} right. left { {{10x=20} atop {y=-5+2x}} right. left { {{x=2} atop {y=-5+4}} right. left { {{x=2} atop {y=-1}} right. \\\

2)left { {{5x+y=20} atop {2x-y=1}} right. left { {{y=20-5x} atop {2x-y=1}} right. left { {{y=20-5x} atop {2x-20+5x=1}} right. left { {{y=20-5x} atop {7x=21}} right left { {{y=20-15} atop {x=3}} right. left { {{y=5} atop {x=3}} right.

3)left { {{x^2+y^2=74} atop {x-y=2}} right. left { {{x^2+y^2=74} atop {x=2+y}} right. left { {{(2+y)^2+y^2=74} atop {x=2+y}} right. left { {{4+4y+y^2+y^2=74} atop {x=2+y}} right. left { {{2y^2+4y-70=0} atop {x=2+y}} right. \\2y^2+4y-70=0\\y^2+2y-35=0\\D=b^2-4ac=4+140=144=12^2\\x_{1}=frac{-2+12}{2}=5\\x_{2}=frac{-2-12}{2}=-7\\left { {{x_{1}=5 } atop {y_{1}=7}} right. left { {{x_{2}=-7} atop {y_{2}=-5}} right.

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