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  • 求50計算50合并同類項20解方程

    求50計算50合并同類項20解方程
    數學人氣:734 ℃時間:2020-04-16 06:03:42
    優(yōu)質解答
    計算:
    1) 66x+17y=3967
    25x+y=1200
    答案:x=48 y=47
    (2) 18x+23y=2303
    74x-y=1998
    答案:x=27 y=79
    (3) 44x+90y=7796
    44x+y=3476
    答案:x=79 y=48
    (4) 76x-66y=4082
    30x-y=2940
    答案:x=98 y=51
    (5) 67x+54y=8546
    71x-y=5680
    答案:x=80 y=59
    (6) 42x-95y=-1410
    21x-y=1575
    答案:x=75 y=48
    (7) 47x-40y=853
    34x-y=2006
    答案:x=59 y=48
    (8) 19x-32y=-1786
    75x+y=4950
    答案:x=66 y=95
    (9) 97x+24y=7202
    58x-y=2900
    答案:x=50 y=98
    (10) 42x+85y=6362
    63x-y=1638
    答案:x=26 y=62
    (11) 85x-92y=-2518
    27x-y=486
    答案:x=18 y=44
    (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
    (29) 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
    (35) 45x-30y=-1455
    29x-y=725
    答案:x=25 y=86
    (36) 11x-43y=-1361
    47x+y=799
    答案:x=17 y=36
    (37) 33x+59y=3254
    94x+y=1034
    答案:x=11 y=49
    (38) 89x-74y=-2735
    68x+y=1020
    答案:x=15 y=55
    (39) 94x+71y=7517
    78x+y=3822
    答案:x=49 y=41
    (40) 28x-62y=-4934
    46x+y=552
    答案:x=12 y=85
    (41) 75x+43y=8472
    17x-y=1394
    答案:x=82 y=54
    (42) 41x-38y=-1180
    29x+y=1450
    答案:x=50 y=85
    (43) 22x-59y=824
    63x+y=4725
    答案:x=75 y=14
    (44) 95x-56y=-401
    90x+y=1530
    答案:x=17 y=36
    (45) 93x-52y=-852
    29x+y=464
    答案:x=16 y=45
    (46) 93x+12y=8823
    54x+y=4914
    答案:x=91 y=30
    (47) 21x-63y=84
    20x+y=1880
    答案:x=94 y=30
    (48) 48x+93y=9756
    38x-y=950
    答案:x=25 y=92
    (49) 99x-67y=4011
    75x-y=5475
    答案:x=73 y=48
    (50) 83x+64y=9291
    90x-y=3690
    答案:x=41 y=92









    解方程:

    (1)2—(1—y)=—2
    2-1+y=--2
    y=-2-2+1=-3

    (2)5—(x—1)=3—3x
    5-x+1=3-3x
    2x=3-1-5
    2x=-3
    x=-1.5

    (3)3—2(2x+1)=2(x—3)
    3-4x-2=2x-6
    6x=3-2+6
    6x=7
    x=7/6

    (4)4x—3(20—x)=6x—7(9—x)
    4x-60+3x=6x-63+7x
    7x-60=13x-63
    6x=3
    x=0.5

    (5)12(2—3x)=4x+4
    24-36x=4x+4
    40x=20
    x=0.5

    (6)2(200—15x)=70+25x
    400-30x=70+25x
    55x=330
    x=6

    (7)4x—3(20—x)+4=0
    4x-60+3x+4=0
    7x=60-4=56
    x=8

    (8)1—3(8—x)=—2(15—2x)
    1-24+3x=-30+4x
    x=1-24+30
    x=7
    (9)2-(1-y)=-2
    2-1+y=-2
    1+y=-2
    y=-3

    (10)5-(x-1)=3-3x
    5-x+1=3-3x
    6-x=3-3x
    -x+3x=3-6
    x=-1.5x=38/3(1) 3X-(1/2+1/4)=7/12
    3X=7/12+3/4
    3X=4/3
    X=4/9

    (2) 6.6-5X=3/4-4X
    6.6-0.75=-4X+5X
    X=5.85

    (3) 1.1X+2.2=5.5-3.3X
    1.1X+3.3X=5.5-2.2
    4.4X=3.3
    X=3/4=4/3

    (4)3x-3=1
    x=4/3
    (5)5x-3x=4
    x=2
    (6)3x+7=28
    x=7
    (7)3x-7=26
    x=11
    (8)9x-x=16
    x=2

    (9)24x+x=50
    x=2









    合并同類項:


    2a-5b+4c-7a+5a+5b-4c
    4a+6a+3k-2c+3k+5c-7a
    3b-6c+4c-3a+4b
    3b+3c-6a+8b-7c-2a
    6b-4a+6c+7a-6a+7b-3c-6b
    5z+3c+7b-3c-7z-6c+4b
    5b+2c-7b+4z-3z-7c
    2x-3c-6c-5a+2c-x+4c+6a
    -2c+3c+7b-2z-5b+2z
    2c-4s-6s+6c-2s
    5c-6c-7c-8c
    2b-6b+9b+7c
    -3c+8b-5z+8b-4c
    5z-5b+6b-2z-3a+9a-3a
    2z+5c-7z+8b-3a
    3c-7b+5z-7b+4a-6n+8b-3v+9n-7v
    3x2y2+2xy-7x2y2- xy+2+4x2y2


    1)(3x-5y)-(6x+7y)+(9x-2y)
    (2)2a-[3b-5a-(3a-5b)]
    (3)(6m2n-5mn2)-6(m2n-mn2)

    (1)(3x-5y)-(6x+7y)+(9x-2y)
    =3x-5y-6x-7y+9x-2y (正確去掉括號)
    =(3-6+9)x+(-5-7-2)y (合并同類項)
    =6x-14y

    (2)2a-[3b-5a-(3a-5b)] (應按小括號,中括號,大括號的順序逐層去括號)
    =2a-[3b-5a-3a+5b] (先去小括號)
    =2a-[-8a+8b] (及時合并同類項)
    =2a+8a-8b (去中括號)
    =10a-8b

    (3)(6m2n-5mn2)-6(m2n-mn2) (注意第二個括號前有因數6)
    =6m2n-5mn2-2m2n+3mn2 (去括號與分配律同時進行)
    =(6-2)m2n+(-5+3)mn2 (合并同類項)
    =4m2n-2mn2

    例2.已知:A=3x2-4xy+2y2,B=x2+2xy-5y2
    求:(1)A+B (2)A-B (3)若2A-B+C=0,求C.

    (1)A+B=(3x2-4xy+2y2)+(x2+2xy-5y2)
    =3x2-4xy+2y2+x2+2xy-5y2(去括號)
    =(3+1)x2+(-4+2)xy+(2-5)y2(合并同類項)
    =4x2-2xy-3y2(按x的降冪排列)

    (2)A-B=(3x2-4xy+2y2)-(x2+2xy-5y2)
    =3x2-4xy+2y2-x2-2xy+5y2 (去括號)
    =(3-1)x2+(-4-2)xy+(2+5)y2 (合并同類項)
    =2x2-6xy+7y2 (按x的降冪排列)

    (3)∵2A-B+C=0

    ∴C=-2A+B
    =-2(3x2-4xy+2y2)+(x2+2xy-5y2)
    =-6x2+8xy-4y2+x2+2xy-5y2 (去括號,注意使用分配律)
    =(-6+1)x2+(8+2)xy+(-4-5)y2 (合并同類項)
    =-5x2+10xy-9y2 (按x的降冪排列)

    例3.計算:
    (1)m2+(-mn)-n2+(-m2)-(-0.5n2)

    (2)2(4an+2-an)-3an+(an+1-2an+1)-(8an+2+3an)

    (3)化簡:(x-y)2-(x-y)2-[(x-y)2-(x-y)2]

    (1)m2+(-mn)-n2+(-m2)-(-0.5n2)
    =m2-mn-n2-m2+n2 (去括號)
    =(-)m2-mn+(-+)n2 (合并同類項)
    =-m2-mn-n2 (按m的降冪排列)

    (2)2(4an+2-an)-3an+(an+1-2an+1)-(8an+2+3an)
    =8an+2-2an-3an-an+1-8an+2-3an (去括號)
    =0+(-2-3-3)an-an+1 (合并同類項)
    =-an+1-8an

    (3)(x-y)2-(x-y)2-[(x-y)2-(x-y)2] [把(x-y)2看作一個整體]
    =(x-y)2-(x-y)2-(x-y)2+(x-y)2 (去掉中括號)
    =(1--+)(x-y)2 (“合并同類項”)
    =(x-y)2




    3x2-2{x-5[x-3x+6x2-3x2+6x]-x+1} (去小括號)
    =3x2-2{x-5[3x2+4x]-x+1} (及時合并同類項)
    =3x2-2{x-15x2-20x-x+1} (去中括號)
    =3x2-2{-15x2-20x+1} (化簡大括號里的式子)
    =3x2+30x2+40x-2 (去掉大括號)
    =33x2+40x-2





    (5x-4y-3xy)-(8x-y+2xy)
    =5x-4y-3xy-8x+y-2xy
    =-3x-3y-5xy
    =-3(x+y)-5xy
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