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29 August, 08:35

20.

Solve the system.

3x + y = - 6

6.2 + 5y = 6

+3
Answers (2)
  1. 29 August, 09:03
    0
    The first one 3x + y = - 6

    First 3x + y = - 6

    -3 - 3x

    --. - -

    y = - 3x-6

    Second 6.2 + 5y = 6

    -6.2. - 6.2

    --- - - --

    5y = - 0.2

    - - - --

    5. 5

    y = - 0.2/5 or - 0.04 as decimal
  2. 29 August, 10:24
    0
    Answer: x = - 1.9867 and y = - 0.0399

    Step-by-step explanation: What we have here is a pair of simultaneous equations which are;

    3x + y = - 6 - - - (1)

    6.2 + 5y = 6 - - - (2)

    From equation (1), we shall make y the subject of the equation. So, let

    y = - 6 - 3x

    Substitute for the value of y into equation (2)

    6.2 + 5 (-6 - 3x) = 6

    6.2 - 30 - 15x = 6

    Collecting like terms we now have

    6.2 - 30 - 6 = 15x

    Remember that when a negative value crosses to the other side of an equation it becomes positive and vice versa

    -29.8 = 15x

    Divide both sides of the equation by 15

    x = - 1.9867

    We can now substitute for the value of x into equation (1)

    3x + y = - 6

    3 (-1.9867) + y = - 6

    -5.9601 + y = - 6

    By collecting like terms we now have

    y = - 6 + 5.9601

    y = - 0.0399.

    Hence x = - 1.9867 and y = - 0.0399
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