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19 July, 15:55

Solve the system of equations

y = 4x+1

y=2+2x-2

+2
Answers (1)
  1. 19 July, 17:18
    0
    x = - 1/2, y = - 1

    Step-by-step explanation:

    Solve the following system:

    {y = 4 x + 1 | (equation 1)

    {y = 2 x | (equation 2)

    Express the system in standard form:

    { - (4 x) + y = 1 | (equation 1)

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

    Subtract 1/2 * (equation 1) from equation 2:

    { - (4 x) + y = 1 | (equation 1)

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

    Multiply equation 2 by 2:

    { - (4 x) + y = 1 | (equation 1)

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

    Subtract equation 2 from equation 1:

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

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

    Divide equation 1 by - 4:

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

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

    Collect results:

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