find the values of x 4/x -3 = 5/2x +3 ​

Question

find the values of x
4/x -3 = 5/2x +3

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Madeline 1 month 2021-08-14T04:39:26+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-08-14T04:40:26+00:00

    Answer:

    The value of x is 1/4.

    Step-by-step explanation:

    \frac{4}{x}-3=\frac{5}{2x}+3

    Add three and subtract 5/2x on both sides

    \frac{4}{x}-\frac{5}{2x}=3+3

    Assume the value of \frac{1}{x} to be u.

    Hence,

    4u-\frac{5u}{2}=6

    Take LCM of the denominator

    \frac{8u-5u}{2}=6

    Simplifying,

    3u=12

    Hence,

    u=4

    Recall that u=\frac{1}{x}

    Hence, \frac{1}{x}=4

    Therefore, the value of x is 1/4.

    Hope it helps.

    0
    2021-08-14T04:40:34+00:00

    \huge\mathfrak{\color{orange}{\underline {\underline{Answer♡}}}}

     \frac{4}{x - 3}  =  \frac{5}{2x + 3}

    By cross multiplication

    4(2x + 3) = 5(x - 3)

    8x + 12 = 5x - 15

    8x - 5x =  - 15 - 12

    3x =  - 27

    x =  \frac{ - 27}{3}

    x =  - 9

    {\bold {\boxed {\purple{✏More\: Information}}}}

    • cross-multiplication is a process to find the numerators. First, we multiply the numerator of the first fraction with the denominator of the second fraction. Next, we multiply the numerator of the second fraction by the denominator of the first fraction.

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