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10 July, 09:30

6 x + y = 1

y = 2 x - 3

Select one:

A. (1, 4)

B. (1/2, - 2)

C. (2, - 2)

D. (4, 2)

+2
Answers (1)
  1. 10 July, 09:35
    0
    x = 1/2, y = - 2 thus the answer is B.)

    Step-by-step explanation:

    Solve the following system:

    {6 x + y = 1 | (equation 1)

    y = 2 x - 3 | (equation 2)

    Express the system in standard form:

    {6 x + y = 1 | (equation 1)

    - (2 x) + y = - 3 | (equation 2)

    Add 1/3 * (equation 1) to equation 2:

    {6 x + y = 1 | (equation 1)

    0 x + (4 y) / 3 = - 8/3 | (equation 2)

    Multiply equation 2 by 3/4:

    {6 x + y = 1 | (equation 1)

    0 x+y = - 2 | (equation 2)

    Subtract equation 2 from equation 1:

    {6 x+0 y = 3 | (equation 1)

    0 x+y = - 2 | (equation 2)

    Divide equation 1 by 6:

    {x+0 y = 1/2 | (equation 1)

    0 x+y = - 2 | (equation 2)

    Collect results:

    Answer: {x = 1/2, y = - 2
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