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11 August, 14:43

Consider the following system of equations:

y = - x + 2

y = 3x + 1

Which description best describes the solution to the system of equations?

Line y = - x + 2 intersects line y = 3x + 1.

Lines y = - x + 2 and y = 3x + 1 intersect the x-axis.

Lines y = - x + 2 and y = 3x + 1 intersect the y-axis.

Line y = - x + 2 intersects the origin.

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Answers (1)
  1. 11 August, 15:04
    0
    Y = - x + 2

    y = 3x + 1

    -x + 2 = 3x + 1

    + x + x

    2 = 4x + 1

    - 1 - 1

    1 = 4x

    4 4

    ¹/₄ = x

    y = 3x + 1

    y = 3 (¹/₄) + 1

    y = ³/₄ + 1

    y = 1³/₄

    (x, y) = (¹/₄, 1³/₄)

    The answer is A.
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