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8 September, 11:41

Write three equations whose solution is x=3.5

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  1. 8 September, 11:50
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    1. 2x + 23 = 30 2. 3x + 19.5 = 30 3. (10x - 20) / 5 = 3

    Explanation:

    Work backward:

    1. 2x + 23 = 30

    Start:

    x = 3.5

    Multiply the equation by 2:

    2x = 2 (3.5) 2x = 7

    Subtract 30 from both sides

    2x - 30 = 7 - 30 2x - 30 = - 23

    Add 23 and 30 to both sides:

    2x + 23 = 30

    2. 3x + 19.5 = 30

    Start:

    x = 3.5

    Add 6.5 to both sides:

    x + 6.5 = 10

    Multiply by 3:

    3 (x + 6.5) = 30

    Distributive property:

    3x + 19.5 = 30

    3. (10x - 20) / 5 = 3

    Start:

    x=3.5

    Multiply by 10:

    10x = 35

    Subtract 20:

    10x - 20 = 15

    Divide by 5:

    (10x - 20) / 5 = 15/5

    (10x - 20) / 5 = 3
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