Solve for x. c-1/x+d=cd A)1/d B)d C)c/d

Question

Solve for x.

c-1/x+d=cd

A)1/d
B)d
C)c/d

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Ruby 2 weeks 2021-10-13T02:06:25+00:00 1 Answer 0

Answers ( )

    0
    2021-10-13T02:08:21+00:00

    Answer: OPTION A.

    Step-by-step explanation:

    Given the equation \frac{c-1}{x}+d=cd, you need to solve for the variable “x”:

    Subtract “d” from both sides of the equation:

    \frac{c-1}{x}+d-d=cd-d\\\\\frac{c-1}{x}=cd-d

    Multiply both sides of the equation by “x”:

    (\frac{c-1}{x})x=x(cd-d)\\\\c-1=x(cd-d)

    Divide both sides of the equation by (cd-d):

    \frac{c-1}{cd-d}=\frac{x(cd-d)}{cd-d}\\\\\frac{c-1}{cd-d}=x

    Factor out “d” in the denominator and simplify. Therefore:

    \frac{(c-1)}{d(c-1)}=x\\\\x=\frac{1}{d}

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