Math, asked by ellypatel05, 9 months ago

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

Answers

Answered by aarshwankar595
0

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.

Answered by Anonymous
24

\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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