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9 September, 13:15

Solve the given system of equations

2y=-x+9

3x-6y=-15

+5
Answers (1)
  1. 9 September, 13:20
    0
    Answer: x = 2, y = 3.5

    Step-by-step explanation:

    Given:

    2y = - x + 9 ... equation 1

    3x - 6y = - 15 ... equation 2

    Solving the system of linear equations by substitution method, we will make x the subject of the formula from equation 1, that is

    2y = - x + 9

    x = 9 - 2y ... equation 3

    Substitute x = 9 - 2y into equation 2, equation 2 then becomes:

    3 (9 - 2y) - 6y = - 15

    27 - 6y - 6y = - 15

    27 - 12y = - 15

    27 + 15 = 12y

    42 = 12y

    y = 3.5

    substitute y = 3.5 into equation 3 to get the value of x,

    x = 9 - 2y

    x = 9 - 2 (3.5)

    x = 9 - 7

    x = 2

    Therefore:

    x = 2, y = 3.5
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