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11 March, 02:21

Simplify 4.2 (2x-0.5y) - 2 (4.1x-0.3y)

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  1. 11 March, 02:45
    0
    x = 7.5y

    Step-by-step explanation:

    Simplifying

    4.2 (2x + - 0.5y) + - 2 (4.1x + - 0.3y) = 0

    (2x * 4.2 + - 0.5y * 4.2) + - 2 (4.1x + - 0.3y) = 0

    (8.4x + - 2.1y) + - 2 (4.1x + - 0.3y) = 0

    8.4x + - 2.1y + (4.1x * - 2 + - 0.3y * - 2) = 0

    8.4x + - 2.1y + (-8.2x + 0.6y) = 0

    Reorder the terms:

    8.4x + - 8.2x + - 2.1y + 0.6y = 0

    Combine like terms: 8.4x + - 8.2x = 0.2x

    0.2x + - 2.1y + 0.6y = 0

    Combine like terms: - 2.1y + 0.6y = - 1.5y

    0.2x + - 1.5y = 0

    Solving

    0.2x + - 1.5y = 0

    Solving for variable 'x'.

    Move all terms containing x to the left, all other terms to the right.

    Add '1.5y' to each side of the equation.

    0.2x + - 1.5y + 1.5y = 0 + 1.5y

    Combine like terms: - 1.5y + 1.5y = 0.0

    0.2x + 0.0 = 0 + 1.5y

    0.2x = 0 + 1.5y

    Remove the zero:

    0.2x = 1.5y

    Divide each side by '0.2'.

    x = 7.5y

    Simplifying

    x = 7.5y
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