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5 January, 02:10

What is 6x-3y=15; 7x+4y=10

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  1. 5 January, 03:53
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    The two equations given are

    6x - 3y = 15

    Dividing both sides of the equation by 3, we get

    2x - y = 5

    y = 2x - 5

    And

    7x + 4y = 10

    Now we put the value of y determined from the first equation in the second equation, we get

    7x + 4y = 10

    7x + 4 (2x - 5) = 10

    7x + 8x - 20 = 10

    15x - 20 = 10

    15x = 10 + 20

    15x = 30

    x = 30/15

    = 2

    Putting the value of x in the second equation we get

    7x + 4y = 10

    (7 * 2) + 4y = 10

    14 + 4y = 10

    4y = 10 - 14

    4y = - 4

    y = - (4/4)

    = - 1

    So the value of x is 2 and the value of y is - 1.
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