Question

$\huge\bold\red{{HELP}}$​

Answer 1

Answer:

x = 5/13

Step-by-step explanation:

Given $x \frac{4}{x} - \frac{6}{4x} = \frac{1}{10}$:

First, cancel out the fraction of the first term:

$x\frac{4}{x}$ = 4

This leaves you with:

$4 - \frac{6}{4x} = \frac{1}{10}$

Cancel out the common factor (of 2) from the second term, -6/4x:

$4 - \frac{3}{2x} = \frac{1}{10}$

Next, we need to find the LCM of 2x and 10, which is 10x:

Multiply the terms by the LCM = 10x:

$(10x) 4 - \frac{3}{2x} (10x) = \frac{1}{10} (10x)$

Simplify:

40x - 15 = x

Subtract x from both sides:

40x - x - 15 = x - x

39x - 15 = 0

Add 15 to both sides:

39x - 15 + 15 = 15

39x = 15

Divide both sides by 39 to solve for x:

39x/39 = 15/39

x = 5/13

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Answer 2

Answer:

${ \rm{x \frac{4}{x} - \frac{6}{4x} = \frac{1}{10} }} \\ \\ { \rm{4 - \frac{6}{4x} = \frac{1}{10} }}$

• simplify further:

${ \rm{ \frac{6}{4x} = 4 - \frac{1}{10} }} \\ \\ { \rm{ \frac{6}{4x} = \frac{39}{10} }} \\ \\ { \rm{4x \times 39 = 6 \times 10}} \\ \\ { \rm{156x = 60}} \\ \\ { \boxed{ \rm{ \: \: x = \frac{5}{13} \: \: }}}$