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4 January, 16:00

0.2x + 0.3y = 1.3.

0.4r + 0.5y = 2.3. solve by using substitution

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  1. 4 January, 16:18
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    x=2, y=3.

    Step-by-step explanation:

    0.2x + 0.3y = 1.3

    0.4x + 0.5y = 2.3

    From the first equation y = (1.3 - 0.2x) / 0.3

    Substituting in second equation:

    0.4x + 0.5 (1.3 - 0.2x) / 0.3 = 2.3

    Multiply through by 0.3:

    0.12x + 0.5 (1.3 - 0.2x) = 0.69

    0.12x + 0.65 - 0.1x = 0.69

    0.02x = 0.04

    x = 2.

    Substituting for x in equation 1:

    0.2 * 2 + 0.3y = 1.3

    0.4 + 0.3y = 1.3

    0.3y = 1.3 - 0.4 = 0.9

    y = 3.

    Check in equation 2:

    0.4 * 2 + 0.5 (3) = 0.8 + 1.5 = 2.3.

    - Correct.
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