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HỆ PHƯƠNG TRÌNH
1.



−=−
=−
xyyx
xy
22
12
33
22
2.



+=−
+=−
)1(33
28
22
33
yx
yyxx
3.



−=−
+=+

)1(3
)3(3
22
23
xxyy
xyxyxx
4.



−=+−
+=++
xyxyyx
xyyxyx
1)1)((
21
2222
5.





=−+
=++
0
2
2
yxyx
y

x
yx
6.





=−−
=+−
092
62
2
yxyx
y
x
yx
7.





=−+
=++
1
11
3
22
xy

yx
xyyxyx
8.





=+++
=








+++
32233
41
4
1
1
1
)1(
yyxxyyx
yy
xx
9.




=−+
=+−
25))((
13))((
22
22
yxyx
yxyx
10.







−=
+
++++
−=−+−
1
42
442
124
2
2
2

2
2
y
x
yxxyx
yx
y
x
11.



=+
−=
xyyx
xxy
6
)9(
22
333
12.



=−++
=+++
yyxx
yxyyx
)2)(1(
4)(1

2
2
13.



=++
+−=+++
2
22
1
143)1)(1(
xxxy
xxyxyx
Phạm Văn Hoan K61A –Toán-ĐHSP Hà Nội
14.



=+−
=+−
1
1
23
2234
xyxyx
yxyxx
15.




−+−+=
−+=
1681645
)4)(45(
22
2
yxxyxy
xxy
16.



+−=+
+−=+
)(21
)(21
23
23
xyyy
yxxx
17.



=−+−
=+
0)(9)(8
012
33

yxyx
xy
18.



=+
=−
yxyx
xyxy
10)(
3)(2
22
22
19.



=−−−
=+−+
38923
143
22
22
yxyx
yxyx
20.




=−++
=+−+−
0222
0964
22
224
yxyx
yyxx
21.



+−=−+
+−=+
5223
1222
22
22
yxyxyx
xyyyx
22.





−=−−
=−+
22
2

1
2
22
2
yxyy
y
xx
23.





−−=−−−
−−=−−
3
3
123)123(2
1232232
xxyy
xyyx
24.





−+=+
+
+

=+
yxyx
yx
yx
y
x
x
62)2(2
23
2
3
1
2
25.





−=+++
=++
2
3
)2)(2(
03
2
yyxyx
yxy
26.








++=++
=+
62
2
4
2
42
3
xx
y
x
y
x
x
x
y
x
27.



+−−=+−+
=+−−
2332

06
2233
xyxyx
xyyxyx
28.



=+−+−
=−−
1212
0232
22
xyx
yxyx
29.



−+=−+
=+−
3232
1
2234
xxyxyxxyx
yxyxx
30.




=+−+−+
=+−+
013232
0)2)(12(
22
2
yyxyxx
yyx
31.



=−++−
=++−+
0244
0)12)(1(2
2
2
yxxyx
yxxy
32.



=++++
=++++
11)1(
30)2()1(
22
3223

yyyxyx
xyyyxyyx
33.





−+=−+
−−=+
232
262
yxyxx
yx
y
x
y
34.



++=+
=+++
272)(
41
22
22
yxyxy
yxyyx
35.




=−
=−
19
2.)(
33
2
yx
yyx
36.





+=
−=−
32
2
2
4
3
yx
y
y
x
x
37.








=++
=−+++
8
1
2
33
1
y
yx
yx
y
x
38.



−=+
=+
22
333
6
191
xxyy

xyx



=−
=+
6)2(
8)32(
.39
3
3
yx
yx



−=+++
−=+
112)1(2
26)1(
.40
222224
2
yxyyxyx
yyx



−=+
=++

xxyx
xyxxy
329)3(2
522
.41
22



+=++
+=+
2
6432
)1(1)2(
22
.42
xyx
xxyyx





=−++
=+++
24
527
.43
yxyx
yxyx






+=
=−−+−+
122
122
.44
33
22
yx
yxyxx
( )



=+−+−
+=+
402415222012
)3()34(2
.45
2422
xxy
xxxyy
x






−+=+
−−=−−
2433
2
8
)452(6152
.46
232
23
yx
y
xx
y
x
yxyxyxx







=
+
+
=
+
+++

1
1
2
13
)(
5
4)(8
.47
2
22
yx
x
yx
xyyx





=−+






++=−+
2
2233
234

4
45
4)3(
.48
xyyx
xyyxyyx





=+
=−++
35
2
.49
yx
yyxyx





=−
=−++
12
12
.50
22
22

yxy
yxyx



=++−
=++−
0263
013
.51
222
222
xyyyx
xyyyx



−=+
=+
xyyxyx
yx
)2(54
2
.52
22
(
)
(
)






+=−++
=++++
832224
111
.53
2
22
yxx
yyxx



=++
=++++
12
4)1(
.54
22
xyyx
yxyyx



=++−
=−+−
2

0496
.55
3223
yxyx
yxyyxx



=++−
=−++
222
0)(2
.56
33
yxyx
yxxyyx
57.



−=−++
=+−+
)1(3)1()(
0232
2
22
yyxyxxy
xyxyx




=−++
=−+−
0101112835
039222114
.58
22
22
yxyx
yxyx



−=−+−−
+=+
214122
22
.59
3
32
223
xyyx
xyyxyx





+−=−−+
+=−+++

3
23
2
23353
2332
.60
xxyyy
xyyyx
( )



+=++
−+=−−
xxyyx
yxyx
2
3
22
2820)12)(2(
.61



=+++
++++=+
xyyx
xyxyxyx
8483
47)(7

.62
22
223



+=++
+=+
xyyx
xyyx
10214
252
.63
22





=−++
−=+−+
0
123
.64
yxyx
yxyx



=+

=+
22
333
64
18278
.65
yxyx
yyx





+−=−
−+=+++
yx
y
x
y
yxyxyx
332
633
.66



+=−
+=+
yxxy
xyyx

233
233
3)1(
3)1(
.67





−−+−=−++
=−+−+
)221()(11
)21(23
.68
22422
422242
xyxxxyx
yxxyxyx



++=+
−+=+−+−
xyxxy
yyxxyxxx
2443
13)3(1
.69
22






−+=−
−=−−+
xyx
yxyxyx
3216
4
.70
2



=++−+
+−=−
41)24()24(
29
.71
yyyxx
yxyx



=+−+
=−++
0152
05

.72
2
22
yyxy
yxxyyx





−=−
+−=−
xyyx
xyyx
22
3222
.73
33
2222



=+−+
=−−−−
81
5)121(1
.74
2
xxyy
xyx




=+−++
=+−
01312632
02
.75
23
222
xyxx
yxyx



=++−
=++−
02)63(
01)3(
.76
22
22
xyxy
xyxy



−=+
+=+
13

122
.77
33
33
xyyx
xyyx



=+−+
=+−+
222
16)3(
43
.78
yxyxy
yxyxy



=+
=+
xyxy
yxyx
10
40
.79
23
23




=++
−=+++
12
32
.80
22
yxxy
xyyyxx





=−++
−=
+
−
1121
22
2
.81
3
2
2
2
xy
x
x

y
xy





=−−−
=−−
1121
02
.82
yx
xyyx
(
)
(
)





−=
−
+
=++++
12
35
1

111
.83
2
22
x
y
y
yyxx





=−+−
=−−−
32667
111
.84
xyxy
xyyx



=+++
=++++
52
5
.85
242
322

xyxyyx
xyxyyxyx



=−−++
=−++
01344
072
.86
223
2
yxxyyxy
yxxyy



−=+
=+++
3
12444
.87
22
xyy
yxyx



=+−
=+−−+−

4
06242)3(
.88
34
xyxyy
yyxyxyy



=+++
=−+−−
2321
012
.89
2
yx
yxxyy
( )





=−−−+
=−−+++
12248
02)3(12)22(
.90
yyx
yyxx




=−−
=+++
102)2(
7)(2
.91
22
xxyy
yxyx



=−
=+
6)2(
8)32(
.92
3
3
yx
yx



−+=+−
=−++
)9(9
211

.93
342
3
yyxyyx
yx



=+++
+=+
6854
.94
2
61045
yx
yyxyx



=+
=+
222
22
51
6
.95
xyx
xxyy




−=−−
−=++
yxxyyx
yxyxxy
2212
2
.96
22



+=+
+=++
662
922
.97
2
2234
xxyx
xyxyxx





−=+++
−=++++
4
5

)21(
4
5
.98
24
232
xxyyx
xyxyyxyx



=−++
+=−
yyxyx
yyx
32
12
.99
2





=+−+
=−++
01
5
)(
03)1(

.100
2
2
x
yx
yxx



=++
=++
222
8134
6132
.101
yxyyx
yxxy



=++
=++
222
131
71
.102
yxyyx
yxxy




=−++
=−−++
74324
025)3()14(
.103
22
2
xyx
yyxx



+=++
=+−+−
222
322
)(2)(
0)(2345
.104
yxyxxy
yxyxyyx



=−−−+
=−++
0542
01532
.105

224
22
yxyx
yxyx







−=−
+=+
22
22
2
11
)(2
2
11
.106
xy
yx
yx
yx



+=+−
+−+=−

33)2(
)5)(2011(32
.107
2
xxyy
yyyx





+≥+
+−+=+−
2
3232
2
1
2
)4)(62(566
.108
xx
x
xxxxxx



=++
=+
3
32

.109
22
24
yyx
yxx





=−
−=−+−
369
)(3
.110
22
22
yx
yxyxyxyx



=++−
+=++
21
222
.111
22
xyxy
xyyxyx




=
−+=−+
1
452
.112
xy
yxyyxx







+
−
=+
=−+−
yx
xy
yx
xyyx
21
2
1
11
.113

22



=−−
−=+−+
12)4)(4(
7)(4
.114
22
yxxy
yxyx







=








−
=









+
32
1
1
3
2
.115
3
3
y
x
y
x



=++
=−−+−
yxx
yyxyx
32
28309

.116
2236





+
+
=+
−=++
2
1
14
.117
2
22
x
y
yx
yxyyx





=++++
−
=+++
423)2)((

2
)(
1212
.118
2
yxyxyx
yx
yx



=−−
=−+−
2012)4024(2010
1)201320122011)(2010(
.119
3
3
yx
yx



=+
=+−++
3032
06)32(536188
.120
22
22

yx
xyyxxyyx



−=−+
=+−−
yxyx yx
yyyxx
23
3)1(2
.121
22
22





=+−
−−=+−+−
3
)23(2122
.122
2
24242
xyx
yxyxyyx




=+
=+
xyyx
yyx
69
8727
.123
22
333



=−++
=−−−
02
11
.124
22
xyxyxy
yxx





=+
=++
12
7

.125
2
2
x
y
x
yxyxy
( )





+=−+
+=+
3311
2
21
.126
22
xxy
y
x
x
y
x



+=+

+=+
xxy
yxxyyx
9267
9432
.127
2
22





=−++
−−=+
416
2322
.128
3
yx
yxyx



=+−−++
=+−+−
01467
18)432)(432(
.129
22

22
yxxyyx
yyxx





=+++
−−=+++
64224
2)32(12)12(2
.130
3
yx
yyxx



=−
++=++
7)(
99
.131
33
22334
xyx
xyxxyyyxx




++−=
−−=−+
xxyxy
yxxxy
1212
13122
.132
2
3



−=+
=−
yxyx
yx
9432
35
.133
22
33



−−=−−
+++=+
121
243
.134

2
233
yyx
xxxyy



=−−+
=−+
0282
148
.135
44
233
yxyx
xyyx



−+=++
+=+
3
2244
12221011
)133(28137
.136
yxxyxy
yyxyx






+−=−+
=+
)13(
25
57
34
5
1
.137
2
22
xyxx
yx



=−
−=−
3)(
2
.138
322
44
yx
yyxx








=−+
=+
−+
1
2
1
2
1
3
.139
22
22
y
x
yx
x
y
yx





=−−+
−+−≥−+−

01714
)2(2)1(212
.140
2
2
xxy
yxxxyx
141.
2
3 2 4 5
2
2 5 0
x y x y
y
x y
x

− + + =


− + =


142.
3 3
1 1
( 4 )(2 4) 36
x y
x y
x y x y


− = −



− − + =−

143.



−=−+
−=−
1724
11716
222
yxxy
yyx
144.
3
2 1 0
(3 ) 2 2 2 1 0
x y
x x y y

− + =


− − − − =



145.
(
)
2 2
2
3 3
3
x y x x y
x y x x

+ + + = −



+ + = +

146.
( )
3
2
2
7
2 2 2
4
x y
y x x

− + =





+ − + = −


147.
2 2
8 2 2 3 2
x y
y x
x y y

+ = +



+ − + = −

148.
2
3 2 3
3
16
16 4
2
.
2 3 3 3 12 4 0
x y
y x

x y
x x x y

+ = −


+


− + + − − =


149.
( )
2
2 1 1 2 2 1 8
2 1 2 13
x y x
y y x x

− − + − = −



+ − + =

150.
3 3 2 2 2
1 2 1 2
2 2 3 3

y x x x
x y x y xy x y

− + + = + + −


− + = − +


151.
( ) ( )
2
2
2 1 2 2 2 1
2 1 0
x y x x y x
x y x

+ + + ≥ + + +



+ − + =
