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16 June, 19:29

The system of equations y = 1/4x-5 and y = - 1/2x-3 is shown on the graph below.

Which statement is true about the solution to the system of equations?

The x-value is between 2 and 3, and the y-value is between - 4 and - 5.

The x-value is between - 4 and - 5, and the y-value is between 2 and 3.

The x-value is between - 2 and - 3, and the y-value is between 4 and 5.

The x-value is between 4 and 5, and the y-value is between - 2 and - 3.

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  1. 16 June, 19:58
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    the first one x value is between 2 and 3, and the y value is between - 4 and - 5

    Step-by-step explanation:

    Multiply the first equation for 4 and second equation by 3

    y=1/4x-5 (x4) Then, 4y = x-20

    y=-1/2x-3 (x3) Then, 2y=-x-6

    From the fist equation we organize the equation as y = (x-20) / 4

    and we add this value of y on the second equation

    2 ((x-20) / 4) = -x-6 the number 4 goes to the other side multiply x-6 and number 2 on the other side multiply x-20

    Then, 2x - 40 = - 4x-24 then we put x in one side and numbers on the other

    2x+4x = - 24+40

    Then. 6x = 16 then x = 2.66 = > x is between 2 and 3

    Then this value of X goes to the first equation y = (2.66-20) / 4

    y = - 4.33 the value y is between - 4 and - 5
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