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27 June, 21:22

Consider the equation x-3=5.

a. Multiply both sides of the equation by a constant, and show that the solution set did not change.

Now, multiply both sides by x.

b. Show that x=8 is still a solution to the new equation.

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  1. 27 June, 21:36
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    a. Solution did not change

    b. x = 8

    Step-by-step explanation:

    Solution for the equation is

    x-3=5

    x = 5 + 3

    x = 8

    a. Multiply both sides of the equation by a constant, C

    C * (x-3) = 5*C

    C*x-3*C = 5*C

    C*x = 5*C + 3*C

    C*x = 8*C

    x = 8*C/C

    x = 8

    b. Multiply both sides of the equation by x

    x * (x-3) = 5*x

    x^2-3*x = 5*x

    x^2 = 5*x + 3*x

    x^2 = 8*x

    x^2/x = 8

    x = 8
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