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29 August, 23:04

Solve each equation below for x show all work and check your answer by substituting it back into the equation and verifying that it makes the equation true

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  1. 30 August, 00:46
    0
    The equations are

    (a) x/3 = 6

    (b) (5x + 9) / 2 = 12

    (c) x/4 = 9/6

    (d) 5/x = 20/8

    The answers to the question are

    (a) x = 18

    (b) x = 3

    (c) x = 6

    (d) x = 2

    Step-by-step explanation:

    (a) x/3 = 6

    Therefore x = 3*6 = 18

    x = 18

    Substituting the value of x in the above equation, we have

    18/6 = 3 verified

    (b) (5x + 9) / 2 = 12

    Multiplying both sides by 2 gives

    (5x + 9) / 2 * 2 = 12*2 = 24

    5x + 9 = 24 or x = (24-9) / 5 = 3

    Substituting the value of x in the above equation, we have

    (5*3 + 9) / 2 = 24/2 = 12 verified

    x = 3

    (c) x/4 = 9/6

    Multiplying both sides by 4, we have

    x/4*4 = 9/6*4 = 6

    x = 6

    Substituting the value of x in the above equation, we have

    (6/4 = 9/6 = 3/2 verified

    (d) 5/x = 20/8

    Inverting both equations, we have

    x/5 = 8/20

    Multiplying both sides by 20 we have x/5 * 20 = 8/20 * 20 or 4x = 8 and x = 2

    Substituting the value of x in the original equation, we have

    2/5 = 2/5 = 8/20 verified

    x = 2
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