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23 March, 20:02

Solve the rational equation quantity 2 times x plus 6 end quantity divided by 3 equals quantity 5 times x minus 1 divided by 7.

x = 45

x = 39

x = 14

x = 7

+4
Answers (1)
  1. 23 March, 20:06
    0
    x = 45

    Step-by-step explanation:

    (2x + 6) / 3 = (5x - 1) / 7

    Cross multiply

    7 (2x + 6) = 3 (5x - 1)

    Expand both expressions

    14x + 42 = 15x - 3

    Collect like terms

    42 + 3 = 15x - 14x

    45 = x

    x = 45

    Check:

    7 (2*45 + 6) = 3 (5*45 - 1)

    7 (90 + 6) = 3 (225 - 1)

    7 * 96 = 3 * 224

    672 = 672
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