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6 January, 18:09

How many solutions does this system have? 2 x + 3 y = negative 3. 3 x + 5 y = negative 9. one two an infinite number no solution

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  1. 6 January, 19:08
    0
    One solution

    Step-by-step explanation:

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  2. 6 January, 21:01
    0
    Answer: one solution

    Step-by-step explanation: Given:

    2x + 3y = - 3 ... equation 1

    3x + 5y = - 9 ... equation 2

    Solving the system of linear equation by elimination method. We will multiply equation 1 by 3 and equation 2 by 2, then we have

    6x + 9y = - 9 ... equation 3

    6x + 10y = - 18 ... equation 4

    Subtract equation 3 from equation 4, ten we have

    y = - 9

    substitute y = - 9 into equation 1 to find the value of x, that is

    2x + 3y = - 3

    2x + 3 (-9) = - 3

    2x - 27 = - 3

    2x = - 3 + 27

    2x = 24

    x = 12

    Therefore, x = 12 and y = - 9. This means that the system has one solution since there is only one value for x and one value for y
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