求“二元一次方程”计算题? 求200道二元一次方程组计算题有过程答案,越细越好
\u4e8c\u5143\u4e00\u6b21\u65b9\u7a0b\u7ec4\u8ba1\u7b97\u9898\u5e26\u8fc7\u7a0b1. x+2y=15 \u2460
4x+5y=65 \u2461
\u89e3\uff1a\u628a\u2461-\u2460*4
\u89e3\u5f97y=5
\u628ay\u4ee3\u5165\u2460\u89e3\u5f97x=10
\u2234\u539f\u65b9\u7a0b\u7ec4\u7684\u89e3\u4e3a\uff5bX=10
y=5
2. 5x-6y=-3 \u2460
x+2y=25 \u2461
\u89e3\uff1a\u628a\u2461*3+\u2460\u5f97
8x=72
x=9
\u628ax=9\u4ee3\u5165\u2460\u89e3\u5f97
y=8
\u2234\u539f\u65b9\u7a0b\u7ec4\u7684\u89e3\u4e3a\uff5bx=9
y=8
3. 3x+2y=23 \u2460
\u89e3\uff1ax+y=9 \u2461
\u7531\u2461\u5f97x=9-y \u2462
\u628a\u2462\u4ee3\u5165\u2460\u5f97
3\uff089-y\uff09+2y=23
\u89e3\u5f97y=4
\u628ay=4\u4ee3\u5165\u2462\u5f97
x=5
\u2234\u539f\u65b9\u7a0b\u7ec4\u7684\u89e3\u4e3a\uff5bx=5
y=4
1\uff0e\u4e8c\u5143\u4e00\u6b21\u65b9\u7a0b4x-3y=12\uff0c\u5f53x=0\uff0c1\uff0c2\uff0c3\u65f6\uff0cy=______\uff0e
2\uff0e\u5728x+3y=3\u4e2d\uff0c\u82e5\u7528x\u8868\u793ay\uff0c\u5219y=______\uff0c\u7528y\u8868\u793ax\uff0c\u5219x=______\uff0e
4\uff0e\u628a\u65b9\u7a0b3(x+5)=5(y-1)+3\u5316\u6210\u4e8c\u5143\u4e00\u6b21\u65b9\u7a0b\u7684\u4e00\u822c\u5f62\u5f0f\u4e3a______\uff0e
(1)\u65b9\u7a0by=2x-3\u7684\u89e3\u6709______\uff1b
(2)\u65b9\u7a0b3x+2y=1\u7684\u89e3\u6709______\uff1b
(3)\u65b9\u7a0by=2x-3\u4e0e3x+2y=1\u7684\u516c\u5171\u89e3\u662f______\uff0e
9\uff0e\u65b9\u7a0bx+y=3\u6709______\u7ec4\u89e3\uff0c\u6709______\u7ec4\u6b63\u6574\u6570\u89e3\uff0c\u5b83\u4eec\u662f______\uff0e
11\uff0e\u5df2\u77e5\u65b9\u7a0b(k2-1)x2+(k+1)x+(k-7)y=k+2\uff0e\u5f53k=______\u65f6\uff0c\u65b9\u7a0b\u4e3a\u4e00\u5143\u4e00\u6b21\u65b9\u7a0b\uff1b\u5f53k=______\u65f6\uff0c\u65b9\u7a0b\u4e3a\u4e8c\u5143\u4e00\u6b21\u65b9\u7a0b\uff0e
12\uff0e\u5bf9\u4e8c\u5143\u4e00\u6b21\u65b9\u7a0b2(5-x)-3(y-2)=10\uff0c\u5f53x=0\u65f6\uff0c\u5219y=______\uff1b\u5f53y=0\u65f6\uff0c\u5219x=______\uff0e
13\uff0e\u65b9\u7a0b2x+y=5\u7684\u6b63\u6574\u6570\u89e3\u662f______\uff0e
14\uff0e\u82e5(4x-3)2+|2y+1|=0\uff0c\u5219x+2=______\uff0e
\u7684\u89e3\uff0e
\u5f53k\u4e3a______\u65f6\uff0c\u65b9\u7a0b\u7ec4\u6ca1\u6709\u89e3\uff0e
______\uff0e
(\u4e8c)\u9009\u62e9
24\uff0e\u5728\u65b9\u7a0b2(x+y)-3(y-x)=3\u4e2d\uff0c\u7528\u542bx\u7684\u4ee3\u6570\u5f0f\u8868\u793ay\uff0c\u5219[
]
a\uff0ey=5x-3\uff1b
b\uff0ey=-x-3\uff1b
d\uff0ey=-5x-3\uff0e
[
]
26\uff0e\u4e0e\u5df2\u77e5\u4e8c\u5143\u4e00\u6b21\u65b9\u7a0b5x-y=2\u7ec4\u6210\u7684\u65b9\u7a0b\u7ec4\u6709\u65e0\u6570\u591a\u4e2a\u89e3\u7684\u65b9\u7a0b\u662f[
]
a\uff0e10x+2y=4\uff1b
b\uff0e4x-y=7\uff1b
c\uff0e20x-4y=3\uff1b
d\uff0e15x-3y=6\uff0e
[
]
a\uff0em=9\uff1b
b\uff0em=6\uff1b
c\uff0em=-6\uff1b
d\uff0em=-9\uff0e
28\uff0e\u82e55x2ym\u4e0e4xn+m-1y\u662f\u540c\u7c7b\u9879\uff0c\u5219m2-n\u7684\u503c\u4e3a
[
]
a\uff0e1\uff1b
b\uff0e-1\uff1b
c\uff0e-3\uff1b
d\uff0e\u4ee5\u4e0a\u7b54\u6848\u90fd\u4e0d\u5bf9\uff0e
29\uff0e\u65b9\u7a0b2x+y=9\u5728\u6b63\u6574\u6570\u8303\u56f4\u5185\u7684\u89e3\u6709[
]
a\uff0e1\u4e2a\uff1b
b\uff0e2\u4e2a\uff1b
c\uff0e3\u4e2a\uff1b
d\uff0e4\u4e2a\uff0e
[
]
a\uff0e4\uff1b
b\uff0e2\uff1b
c\uff0e-4\uff1b
d\uff0e\u4ee5\u4e0a\u7b54\u6848\u90fd\u4e0d\u5bf9\uff0e
\u4e8c\u5143\u4e00\u6b21\u65b9\u7a0b\u7ec4??\u7efc\u5408\u521b\u65b0\u7ec3\u4e60\u9898
\u4e00\u3001\u7efc\u5408\u9898
\u3010z\uff0c3\uff0c\u4e8c\u3011
\u3010z\uff0c3\uff0c\u4e8c\u3011
3\uff0e\u5df2\u77e54ax+yb2\u4e0e\uff0da3by\u662f\u540c\u7c7b\u9879\u6c422x\uff0dy\u7684\u503c\uff0e
\u3010z\uff0c3\uff0c\u4e8c\u3011
4\uff0e\u82e5|x\uff0d2|\uff0b(2x\uff0d3y\uff0b5)2=0\uff0c\u6c42x\u548cy\u7684\u503c\uff0e
\u3010n\uff0c3\uff0c\u4e09\u3011
5\uff0e\u82e5\u65b9\u7a0b2x2m+3\uff0b3y5n-4=7\u662fx\uff0cy\u7684\u4e8c\u5143\u4e00\u6b21\u65b9\u7a0b\u7ec4\uff0c\u6c42m2\uff0bn\u7684\u503c\uff0e
\u3010z\uff0c3\uff0c\u4e8c\u3011
\u4e8c\u3001\u521b\u65b0\u9898
1\uff0e\u5df2\u77e5x\u548cy\u4e92\u4e3a\u76f8\u53cd\u6570\uff0c\u4e14(x\uff0by\uff0b4)(x\uff0dy)=4\uff0c\u6c42x\u548cy\u7684\u503c\uff0e
\u3010n\uff0c4\uff0c\u4e09\u3011
2\uff0e\u6c42\u65b9\u7a0bx\uff0b2y=7\u5728\u81ea\u7136\u6570\u8303\u56f4\u5185\u7684\u89e3\uff0e
\u3010n\uff0c4\uff0c\u4e09\u3011
\u4e09\u3001\u4e2d\u8003\u9898
(\u5c71\u4e1c\uff0c95\uff0c3\u5206)\u4e0b\u5217\u7ed3\u8bba\u6b63\u786e\u7684\u662f
[
]
\u53c2\u8003\u7b54\u6848\u53ca\u70b9\u62e8
\u4e00\u30011\uff0e\u6240\u8003\u77e5\u8bc6\u70b9\uff1a\u65b9\u7a0b\u7ec4\u7684\u89e3\u53ca\u6c42\u4ee3\u6570\u5f0f\u7684\u503c\uff0e
\u2234
2m\uff0b3n=2\u00d72\uff0b3(\uff0d3)=4\uff0d9=\uff0d5\uff0e
2\uff0e\u6240\u8003\u77e5\u8bc6\u70b9\uff1a\u65b9\u7a0b\u7684\u89e3\u53ca\u89e3\u4e00\u5143\u4e00\u6b21\u65b9\u7a0b\uff0e
\u89e3\uff1a\u628a
x=\uff0d3\uff0cy=\uff0d2\u4ee3\u5165\u65b9\u7a0b\uff0c\u5f97
2(\uff0d3)\uff0d4(\uff0d2)\uff0b2a=3\u89e3\u5173
\u70b9\u62e8\uff1a\u4ee5\u4e0a\u4e24\u9898\u8003\u5bdf\u7684\u77e5\u8bc6\u70b9\u7c7b\u4f3c\uff0c\u5df2\u77e5\u65b9\u7a0b\u7684\u89e3\u65f6\uff0c\u53ea\u8981\u628a\u8fd9\u7ec4\u6570\u4ee3\u5165\u65b9\u7a0b\u6216\u65b9\u7a0b\u7ec4\u5c31\u53ef\u6c42\u51fa\u65b9\u7a0b\u4e2d\u5176\u4ed6\u5b57\u6bcd\u7684\u503c\uff0e
3\uff0e\u6240\u8003\u77e5\u8bc6\u70b9\uff1a\u540c\u7c7b\u9879\u53ca\u89e3\u65b9\u7a0b
\u70b9\u62e8\uff1a\u6839\u636e\u540c\u7c7b\u9879\u7684\u5b9a\u4e49\u77e5\uff0c\u76f8\u540c\u5b57\u6bcd\u7684\u6307\u6570\u76f8\u540c\uff0c\u6545\u53ef\u5217\u51fa\u65b9\u7a0b\uff0c\u4ece\u800c\u6c42\u89e3\uff0e
4\uff0e\u6240\u8003\u77e5\u8bc6\u70b9\uff1a\u975e\u8d1f\u6570\u7684\u6027\u8d28\u53ca\u89e3\u7b80\u5355\u7684\u4e8c\u5143\u4e00\u6b21\u65b9\u7a0b\u7ec4\uff0e
\u70b9\u62e8\uff1a\u56e0|x\uff0d2|\u22650\uff0c(2x\uff0d3y\uff0b5)2\u22650\uff0c\u6240\u4ee5\uff0c\u5f53\u5b83\u4eec\u7684\u548c\u4e3a\u96f6\uff0c\u8fd9\u4e24\u4e2a\u6570\u90fd\u987b\u662f\u96f6\uff0c\u5373x\uff0d2=0\uff0c2x\uff0d3y\uff0b5=0\uff0e
5\uff0e\u6240\u8003\u77e5\u8bc6\u70b9\uff1a\u4e8c\u5143\u4e00\u6b21\u65b9\u7a0b\u7684\u5b9a\u4e49\uff0e
\u89e3\uff1a\u7531\u9898\u610f\u77e5
\u70b9\u62e8\uff1a\u4ece\u4e8c\u5143\u4e00\u6b21\u65b9\u7a0b\u7684\u5b9a\u4e49\u77e5\uff0c\u672a\u77e5\u9879\u7684\u6307\u6570\u4e3a
1\uff0c\u7531\u6b64\u5f97\u5230
2m\uff0b3=1\uff0c
5n\uff0d4=1\uff0e
\u4e8c\u30011\uff0e\u6240\u8003\u77e5\u8bc6\u70b9\uff1a\u76f8\u53cd\u6570\u7684\u610f\u4e49\u53ca\u89e3\u7b80\u5355\u7684\u4e8c\u5143\u4e00\u6b21\u65b9\u7a0b\u7ec4\uff0e
\u89e3\uff1a\u7531\u9898\u610f\uff0c\u5f97x\uff0by=0\uff0c
\u53c8\u2235(x\uff0by\uff0b4)(x\uff0dy)=4
\u2234
4(x\uff0dy)=4
\u5373x\uff0dy=1
2\uff0e\u6240\u8003\u77e5\u8bc6\u70b9\uff1a\u4e8c\u5143\u4e00\u6b21\u65b9\u7a0b\u7684\u81ea\u7136\u6570\u89e3\uff0e
\u89e3\uff1a\u628a\u65b9\u7a0bx\uff0b2y=7\u53d8\u5f62\uff0c\u5f97x=7\uff0d2y
\u4ee4y=1\uff0c2\uff0c3\uff0c4\u2026\u2026\uff0c\u5219x=5\uff0c3\uff0c1\uff0c\uff0d1\u2026\u2026
\u70b9\u62e8\uff1a\u4e8c\u5143\u4e00\u6b21\u65b9\u7a0b\u7684\u81ea\u7136\u6570\u89e3\uff0c\u5c31\u662f\u672a\u77e5\u6570\u7684\u503c\uff0c\u90fd\u662f\u81ea\u7136\u6570\uff0c\u9996\u5148\u5c06\u65b9\u7a0b\u53d8\u5f62\uff0c\u7528\u542b\u4e00\u4e2a\u5b57\u6bcd\u7684\u4ee3\u6570\u5f0f\u8868\u793a\u53e6\u4e00\u4e2a\u5b57\u6bcd\uff0c\u518d\u6839\u636e\u9898\u76ee\u7684\u7279\u70b9\u6c42\u89e3\uff0e
\u4e09\u3001\u6240\u8003\u77e5\u8bc6\u70b9\uff1a\u4e8c\u5143\u4e00\u6b21\u65b9\u7a0b\u7ec4\u89e3\u7684\u5b9a\u4e49\uff0e
\u89e3\uff1ad
\u70b9\u62e8\uff1a\u7531\u4e8c\u5143\u4e00\u6b21\u65b9\u7a0b\u7ec4\u7684\u5b9a\u4e49\u77e5\u9053\uff0c\u4e8c\u5143\u4e00\u6b21\u65b9\u7a0b\u7ec4\u7684\u89e3\uff0c\u662f\u65b9\u7a0b\u7ec4\u4e2d\u6bcf\u4e2a\u4e8c\u5143\u4e00\u6b21\u65b9\u7a0b\u7ec4\u7684\u89e3\uff0c\u6545\u9009d\uff0e
解二元一次方程组有两种方法:
(1)代入消元法;
(2)加减消元法。
(12) 79x+40y=2419
56x-y=1176
答案:x=21 y=19
(13) 80x-87y=2156
22x-y=880
答案:x=40 y=12
(14) 32x+62y=5134
57x+y=2850
答案:x=50 y=57
(15) 83x-49y=82
59x+y=2183
答案:x=37 y=61
(16) 91x+70y=5845
95x-y=4275
答案:x=45 y=25
(17) 29x+44y=5281
88x-y=3608
答案:x=41 y=93
(18) 25x-95y=-4355
40x-y=2000
答案:x=50 y=59
(19) 54x+68y=3284
78x+y=1404
答案:x=18 y=34
(20) 70x+13y=3520
52x+y=2132
答案:x=41 y=50
(21) 48x-54y=-3186
24x+y=1080
答案:x=45 y=99
(22) 36x+77y=7619
47x-y=799
答案:x=17 y=91
(23) 13x-42y=-2717
31x-y=1333
答案:x=43 y=78
(24) 28x+28y=3332
52x-y=4628
答案:x=89 y=30
(25) 62x-98y=-2564
46x-y=2024
答案:x=44 y=54
(26) 79x-76y=-4388
26x-y=832
答案:x=32 y=91
(27) 63x-40y=-821
42x-y=546
答案:x=13 y=41
(28) 69x-96y=-1209
42x+y=3822
答案:x=91 y=78
85x+67y=7338
11x+y=308
答案:x=28 y=74
(30) 78x+74y=12928
14x+y=1218
答案:x=87 y=83
(31) 39x+42y=5331
59x-y=5841
答案:x=99 y=35
(32) 29x+18y=1916
58x+y=2320
答案:x=40 y=42
(33) 40x+31y=6043
45x-y=3555
答案:x=79 y=93
(34) 47x+50y=8598
45x+y=3780
答案:x=84 y=93
绛旓細1锛寈-y=2 xy=15 (x=5,y=3)2,x+y=6 x-y=2 (4,2)3,x+y=11,xy=30 (x=5,y=6,x=6,y=5)4,x+y=13,xy=42 (x=6,7,y=7,6)5,x+y=11,x-y=1 (x=6,y=5)6,x+y=12,xy=35 (x=5,7,y=7,5)7,x+y=5,xy=6 (x=2,3,y=3,2)8,x-y=5,xy=36 (x=...
绛旓細1) 66x+17y=3967 25x+y=1200 绛旀锛歺=48 y=47 (2) 18x+23y=2303 74x-y=1998 绛旀锛歺=27 y=79 (3) 44x+90y=7796 44x+y=3476 绛旀锛歺=79 y=48 (4) 76x-66y=4082 30x-y=2940 绛旀锛歺=98 y=51 (5) 67x+54y=8546 71x-y=5680 绛旀锛歺=80 y=59 (6) 42x-95y=...
绛旓細1. 2x+9y=81 3x+y=34 2. 9x+4y=35 8x+3y=30 3. 7x+2y=52 7x+4y=62 4. 4x+6y=54 9x+2y=87 5. 2x+y=7 2x+5y=19 6. x+2y=21 3x+5y=56 7. 5x+7y=52 5x+2y=22 8. 5x+5y=65 7x+7y=203 9. 8x+4y=56 x+4y=21 10. ...
绛旓細1.2x+9y=81 3x+y=34 2.9x+4y=35 8x+3y=30 3.7x+2y=52 7x+4y=62 4.4x+6y=54 9x+2y=87 5.2x+y=7 2x+5y=19 6.x+2y=21 3x+5y=56 7.5x+7y=52 5x+2y=22 8.5x+5y=65 7x+7y=203 9.8x+4y=56 x+4y=21 10.5x+7y=41 5x+8y=44 11.7x+5y=54 3x+4y=38 12.x+...
绛旓細绛旀锛歺=-16 (1+x)/3-2x=8-(x+8)/4 绛旀锛歺=-4 x+(x-1)/2=(2x-1)/3-1 绛旀锛歺=-1 4%x+8%=6%x-0.4 绛旀锛歺=24 3(1-x)+2x=5 绛旀锛歺=-2 7(x-2)=2x-34 绛旀锛歺=-4 1/2m+3=1 绛旀锛歮=-4 2-1/3(k-1)=2 绛旀锛歬=1 x+x+x+1=x+2+x+3 绛旀...
绛旓細.2x+9y=81 3x+y=34 2.9x+4y=35 8x+3y=30 3.7x+2y=52 7x+4y=62 4.4x+6y=54 9x+2y=87 5.2x+y=7 2x+5y=19 6.x+2y=21 3x+5y=56 7.5x+7y=52 5x+2y=22 8.5x+5y=65 7x+7y=203 9.8x+4y=56 x+4y=21 10.5x+7y=41 5x+8y=44 ...
绛旓細25x+y=1200 绛旀锛歺=48 y=47 (2) 18x+23y=2303 74x-y=1998 绛旀锛歺=27 y=79 (3) 44x+90y=7796 44x+y=3476 绛旀锛歺=79 y=48 (4) 76x-66y=4082 30x-y=2940 绛旀锛歺=98 y=51 (5) 67x+54y=8546 71x-y=5680 绛旀锛歺=80 y=59 (6) 42x-95y=-1410 21x-y=1575 ...
绛旓細25x+y=1200 绛旀锛歺=48 y=47 (2) 18x+23y=2303 74x-y=1998 绛旀锛歺=27 y=79 (3) 44x+90y=7796 44x+y=3476 绛旀锛歺=79 y=48 (4) 76x-66y=4082 30x-y=2940 绛旀锛歺=98 y=51 (5) 67x+54y=8546 71x-y=5680 绛旀锛歺=80 y=59 (6) 42x-95y=-1410 21x-y=1575 ...
绛旓細66X+17Y=3967 25X+Y=1200 绛旀锛歺=48 y=47 (2) 18x+23y=2303 74x-y=1998 绛旀锛歺=27 y=79 (3) 44x+90y=7796 44x+y=3476 绛旀锛歺=79 y=48 (4) 76x-66y=4082 30x-y=2940 绛旀锛歺=98 y=51 (5) 67x+54y=8546 71x-y=5680 绛旀锛歺=80 y=59 (6) 42x-95y=-...
绛旓細绗竴棰橈細{3x+4y=16鈶 {5x-6y=33鈶 3鈶狅細{9x+12y=48鈶 2鈶★細{10x-12y=66鈶 鈶+鈶o細19x=114 x=6 鎶妜=6甯﹀叆鍘鏂圭▼缁勶紝寰楋細{x=6 {y=-1/2 绗浜岄锛歿4锛坸-y-1锛=3(1-y)-2鈶 {x/2+y/3=2鈶 鍖栦负涓鑸紡锛歿4x-y=5鈶 {3x+2y=12鈶 2鈶狅細{8x-2y=10鈶 {3x+2y=...