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11 December, 15:32

Solve the system of linear equations by substitution.

5x+2y=9

x+y = - 3

+2
Answers (2)
  1. 11 December, 15:33
    0
    Step-by-step explanation:

    5x+2y=9 ... (1)

    x+y = - 3 ... (2)

    Making y as subject bin (2)

    y = - 3 - x

    Substituting in (1)

    5x + 2 (-3 - x) = 9

    5x - 6 - 2x = 9

    3x = 9 + 6

    3x = 15

    x = 15/3

    x = 5

    And y = - 3 - x

    y = - 3 - 5

    y = - 8
  2. 11 December, 15:55
    0
    The solution for the system of linear equations is x = 5, y = - 8

    Step-by-step explanation:

    Let's solve the system of linear equations by substitution:

    5x + 2y = 9

    x + y = - 3

    Solving for x in the 1st equation, this way:

    5x + 2y = 9

    5x = 9 - 2y

    x = (9 - 2y) / 5

    Substituting x in the 2nd equation:

    x + y = - 3

    (9 - 2y) / 5 + y = - 3

    9 - 2y + 5y = - 15 (Multiplying by 5 at both sides)

    3y = - 15 - 9

    y = - 24/3

    y = - 8

    Substituting y in the 1st equation:

    5x + 2y = 9

    5x + 2 * - 8 = 9

    5x - 16 = 9

    5x = 25

    x = 25/5 = 5

    The solution for the system of linear equations is x = 5, y = - 8
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