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1.а)![left { {{x+y=5,} atop {x-y=7;}} right. left { {{2x=12,} atop {x-y=7;}} right. left { {{x=6,} atop {6-y=7;}} right. left { {{x=6,} atop {y=-1}} right. left { {{x+y=5,} atop {x-y=7;}} right. left { {{2x=12,} atop {x-y=7;}} right. left { {{x=6,} atop {6-y=7;}} right. left { {{x=6,} atop {y=-1}} right.](https://tex.z-dn.net/?f=+left+%7B+%7B%7Bx%2By%3D5%2C%7D+atop+%7Bx-y%3D7%3B%7D%7D+right.++left+%7B+%7B%7B2x%3D12%2C%7D+atop+%7Bx-y%3D7%3B%7D%7D+right.++left+%7B+%7B%7Bx%3D6%2C%7D+atop+%7B6-y%3D7%3B%7D%7D+right.++left+%7B+%7B%7Bx%3D6%2C%7D+atop+%7By%3D-1%7D%7D+right.+)
Ответ:(6;-1)
б)![left { {{a-b=1,} atop {a+b=-5;}} right. left { {{2a=-4,} atop {a+b=-5;}} left { {{a=-2,} atop {-2+b=-5;}} right. left { {{a=-2,} atop {b=-3;}} right. left { {{a-b=1,} atop {a+b=-5;}} right. left { {{2a=-4,} atop {a+b=-5;}} left { {{a=-2,} atop {-2+b=-5;}} right. left { {{a=-2,} atop {b=-3;}} right.](https://tex.z-dn.net/?f=+left+%7B+%7B%7Ba-b%3D1%2C%7D+atop+%7Ba%2Bb%3D-5%3B%7D%7D+right.+++left+%7B+%7B%7B2a%3D-4%2C%7D+atop+%7Ba%2Bb%3D-5%3B%7D%7D++left+%7B+%7B%7Ba%3D-2%2C%7D+atop+%7B-2%2Bb%3D-5%3B%7D%7D+right.+left+%7B+%7B%7Ba%3D-2%2C%7D+atop+%7Bb%3D-3%3B%7D%7D+right.)
в)![left { {{2n+m=5,} atop {2n-m=11;}} right. left { {{4n=16,} atop {2n-m=11;}} right. left { {{n=4,} atop {8-m=11;}} right. left { {{n=4,} atop {m=-3;}} right. left { {{2n+m=5,} atop {2n-m=11;}} right. left { {{4n=16,} atop {2n-m=11;}} right. left { {{n=4,} atop {8-m=11;}} right. left { {{n=4,} atop {m=-3;}} right.](https://tex.z-dn.net/?f=+left+%7B+%7B%7B2n%2Bm%3D5%2C%7D+atop+%7B2n-m%3D11%3B%7D%7D+right.+left+%7B+%7B%7B4n%3D16%2C%7D+atop+%7B2n-m%3D11%3B%7D%7D+right.++left+%7B+%7B%7Bn%3D4%2C%7D+atop+%7B8-m%3D11%3B%7D%7D+right.+left+%7B+%7B%7Bn%3D4%2C%7D+atop+%7Bm%3D-3%3B%7D%7D+right.+)
2.а)![left { {{u+v=4,|*5} atop {3u-5v=20;}} right. left { {{5u+5v=20,} atop {3u-5v=20;}} right. left { {{8u=40,} atop {3u-5v=20;}} right. left { {{u=5,} atop {15-5v=20;}} right. left { {{u=5,} atop {v=-1;}} right. left { {{u+v=4,|*5} atop {3u-5v=20;}} right. left { {{5u+5v=20,} atop {3u-5v=20;}} right. left { {{8u=40,} atop {3u-5v=20;}} right. left { {{u=5,} atop {15-5v=20;}} right. left { {{u=5,} atop {v=-1;}} right.](https://tex.z-dn.net/?f=+left+%7B+%7B%7Bu%2Bv%3D4%2C%7C%2A5%7D+atop+%7B3u-5v%3D20%3B%7D%7D+right.+left+%7B+%7B%7B5u%2B5v%3D20%2C%7D+atop+%7B3u-5v%3D20%3B%7D%7D+right.+left+%7B+%7B%7B8u%3D40%2C%7D+atop+%7B3u-5v%3D20%3B%7D%7D+right.+left+%7B+%7B%7Bu%3D5%2C%7D+atop+%7B15-5v%3D20%3B%7D%7D+right.+left+%7B+%7B%7Bu%3D5%2C%7D+atop+%7Bv%3D-1%3B%7D%7D+right.)
б)![left { {{3x-y=5,|*7} atop {2x+7y=11;}} right. left { {{21x-7y=35,} atop {2x+7y=11;}} right. left { {{23x=46,} atop {2x+7y=11;}} right. left { {{x=2,} atop {4+7y=11;}} right. left { {{x=2,} atop {y=1;}} right. left { {{3x-y=5,|*7} atop {2x+7y=11;}} right. left { {{21x-7y=35,} atop {2x+7y=11;}} right. left { {{23x=46,} atop {2x+7y=11;}} right. left { {{x=2,} atop {4+7y=11;}} right. left { {{x=2,} atop {y=1;}} right.](https://tex.z-dn.net/?f=+left+%7B+%7B%7B3x-y%3D5%2C%7C%2A7%7D+atop+%7B2x%2B7y%3D11%3B%7D%7D+right.++left+%7B+%7B%7B21x-7y%3D35%2C%7D+atop+%7B2x%2B7y%3D11%3B%7D%7D+right.++left+%7B+%7B%7B23x%3D46%2C%7D+atop+%7B2x%2B7y%3D11%3B%7D%7D+right.+left+%7B+%7B%7Bx%3D2%2C%7D+atop+%7B4%2B7y%3D11%3B%7D%7D+right.++left+%7B+%7B%7Bx%3D2%2C%7D+atop+%7By%3D1%3B%7D%7D+right.)
в)![left { {{4m-5n=1,} atop {2m-3n=2;|*(-2)}} right. left { {{4m-5n=1,} atop {-4m+6n=-4;}} right. left { {{n=-3,} atop {2m+9=2;}} right. left { {{n=-3,} atop {m=-3,5}} right. left { {{4m-5n=1,} atop {2m-3n=2;|*(-2)}} right. left { {{4m-5n=1,} atop {-4m+6n=-4;}} right. left { {{n=-3,} atop {2m+9=2;}} right. left { {{n=-3,} atop {m=-3,5}} right.](https://tex.z-dn.net/?f=+left+%7B+%7B%7B4m-5n%3D1%2C%7D+atop+%7B2m-3n%3D2%3B%7C%2A%28-2%29%7D%7D+right.++left+%7B+%7B%7B4m-5n%3D1%2C%7D+atop+%7B-4m%2B6n%3D-4%3B%7D%7D+right.++left+%7B+%7B%7Bn%3D-3%2C%7D+atop+%7B2m%2B9%3D2%3B%7D%7D+right.++left+%7B+%7B%7Bn%3D-3%2C%7D+atop+%7Bm%3D-3%2C5%7D%7D+right.)
3.а)![left { {{2x+3y=-1,|*3} atop {3x+5y=-2;|*(-2)}} right. left { {{6x+9y=-3,} atop {-6x-10y=4;}} right. left { {{y=-1,} atop {3x-5=-2;}} right. left { {{y=-1,} atop {x=1;}} right. left { {{2x+3y=-1,|*3} atop {3x+5y=-2;|*(-2)}} right. left { {{6x+9y=-3,} atop {-6x-10y=4;}} right. left { {{y=-1,} atop {3x-5=-2;}} right. left { {{y=-1,} atop {x=1;}} right.](https://tex.z-dn.net/?f=+left+%7B+%7B%7B2x%2B3y%3D-1%2C%7C%2A3%7D+atop+%7B3x%2B5y%3D-2%3B%7C%2A%28-2%29%7D%7D+right.++left+%7B+%7B%7B6x%2B9y%3D-3%2C%7D+atop+%7B-6x-10y%3D4%3B%7D%7D+right.++left+%7B+%7B%7By%3D-1%2C%7D+atop+%7B3x-5%3D-2%3B%7D%7D+right.++left+%7B+%7B%7By%3D-1%2C%7D+atop+%7Bx%3D1%3B%7D%7D+right.+)
б)![left { {{2n-3d=-1,|*3} atop {3n+4d=24;|*(-2)}} right. left { {{6n-9d=-3,} atop {-6n-8d=-48;}} right. left { {{d=3,} atop {3n+12=24;}} right. left { {{d=3,} atop {n=4;}} right. left { {{2n-3d=-1,|*3} atop {3n+4d=24;|*(-2)}} right. left { {{6n-9d=-3,} atop {-6n-8d=-48;}} right. left { {{d=3,} atop {3n+12=24;}} right. left { {{d=3,} atop {n=4;}} right.](https://tex.z-dn.net/?f=+left+%7B+%7B%7B2n-3d%3D-1%2C%7C%2A3%7D+atop+%7B3n%2B4d%3D24%3B%7C%2A%28-2%29%7D%7D+right.++left+%7B+%7B%7B6n-9d%3D-3%2C%7D+atop+%7B-6n-8d%3D-48%3B%7D%7D+right.++left+%7B+%7B%7Bd%3D3%2C%7D+atop+%7B3n%2B12%3D24%3B%7D%7D+right.++left+%7B+%7B%7Bd%3D3%2C%7D+atop+%7Bn%3D4%3B%7D%7D+right.)
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Ответ:(6;-1)
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3.а)
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