Question

The value of x, if, (-24)/x= 4/9 .

Answer 1

Answer:

• x = (-54)

Step-by-step explanation:

$\: \: \: \: \: : \implies \sf \dfrac{( - 24)}{x} = \dfrac{4}{9}$

• By Cross Multiplying

$\: \: \: \: \: : \implies \sf 9( - 24) = x \times 4$

$\: \: \: \: \: : \implies \sf 4x = - 216$

• Dividing both sides by 4

$\: \: \: \: \: : \implies \sf \dfrac{4x}{4} = \dfrac{ - 216}{4}$

$\: \: \: \: \: : \implies \bf x = - 54$

Verification

$\sf \dfrac{( - 24)}{x} = \dfrac{4}{9}$

• Putting the value of x

$\sf \dfrac{ \cancel{( - 24}) ^{4} }{ \cancel{{54}}^{9} } = \dfrac{4}{9}$

$\sf~~~~~ \dfrac{ 4}{ 9 } = \dfrac{4}{9} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \bf verified$

Answer 2

$\huge \mathbb{ \red {★᭄ꦿ᭄S} \pink{ᴏ}\purple{ʟᴜ} \blue {ᴛ} \orange{ɪ} \green{ᴏɴ★᭄ꦿ᭄}}$

↪step by step Explanation::

$: \implies \tt \dfrac \pink{( - 24)} \pink{x} = \dfrac \red{4} \red{9}$

• ⚘by cross multiplication

$: \implies \tt \red9 \red{( - 24)}= \purple{x \times 4}$

$: \implies \tt \orange {4x} = \green{ - 216}$

• ⚘dividing both side by 4

$: \implies \tt \dfrac \pink{4x} \pink{4}= \dfrac \blue{ - 216} \blue{4}$

$: \implies \tt \purple{ x = - 54}$

↪Verification::-

$\tt\dfrac \purple{( - 24)} \red{x} = \dfrac \blue{4} \green{9}$

• ⚘Putting the value of x

$\tt\dfrac{ \cancel \red{( - 24}) ^ \red{4} }{ \cancel \purple{{54}}^ \purple{9} } = \dfrac \green{4} \blue{9}$

$\begin{gathered} \tt~~~~~ \dfrac \red{ 4} \pink{ 9 } = \dfrac \blue{4} \purple {9} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \mathtt verified\end{gathered}$