Matematika

Pertanyaan

3 kursi 5 meja dan 2 bangku=330.000
7 kursi 2meja 1bangku=250.000
12kursi 6meja 7bangku=610.000
harga tiap kursi,meja,dan bangku?

1 Jawaban

  • misal:
    x= kursi
    y= meja
    z= bangku

    3x+ 5 y + 2z = 330k
    7x + 2 y+ 1 z = 250k
    12x + 6 y + 7z = 610k


    3x =330k- 5y -2z
    x= 110k -5/3y -2/3z

    12x+6y + 7z = 610k
    4(3x) + 6y + 7z = 610k
    4(330k-5y-2z) + 6y +7z =610k
    1320k -20y -8z +6y+7z= 610k
    1320k-610k = 14y + 1z
    710k -14y =z

    7(110k -5/3y-2/3(710k-14y))+2y+(710k-14y)=250k

    770k -35/3y - 3.313,333 +196/3 y+2y + 710k -14y =250k

    2.083,333= 2y +161/3y -14y
    2.083,333= 41.667y
    y= 49.999
    y=50.000

    710k - 14y = z
    710k - 14 (50k) =z
    z= 10.000

    7 x+2y +z = 250k
    7x + 100k + 10k =250k
    7x = 250k- 110k
    7x = 140k
    x= 20.000


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