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9 December, 11:11

What is the value of x in the linear equation below?

4+3x-ax=9-7x+bx

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Answers (1)
  1. 9 December, 11:32
    0
    x = 5 / (10 - a - b)

    Step-by-step explanation:

    Solve for x:

    4 + 3 x - a x = 9 - 7 x + b x

    Collect in terms of x:

    x (3 - a) + 4 = 9 - 7 x + b x

    Collect in terms of x:

    x (3 - a) + 4 = x (b - 7) + 9

    Subtract (b - 7) x + 4 from both sides:

    x (10 - a - b) = 5

    Divide both sides by 10 - a - b:

    Answer: x = 5 / (10 - a - b)
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