solve: 5(1-x) / 3(2-x) = 3/4. answer this question please…​

2 thoughts on “solve: 5(1-x) / 3(2-x) = 3/4. answer this question please…​”

1. [tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{red}{SoLuTiOn⤵}}}}}∘[/tex]

   ✅ [tex]x = \frac{2}{11} [/tex]

   [tex]{\boxed{\mathcal{\blue{Step-by-step\:explanation:-}}}}[/tex]

   [tex] \frac{5 \: (1 – x)}{3 \: (2 – x)} = \frac{3}{4} \\ ➪ \: \frac{5 – 5x}{6 – 3x} = \frac{3}{4} \\ ➪ \: 4 \: (5 – 5x) = 3 \: (6 – 3x) \: \\ ➪ \: 20 – 20x = 18 – 9x \\ ➪ \: – 20x + 9x = 18 – 20 \\ ➪ \: – 11x = – 2 \\ ➪ \: x = \frac{2}{11} [/tex]

   [tex]{\boxed{\mathcal{\green{To\:verify:-}}}}[/tex]

   [tex]\frac{5(1 – x)}{3(2 – x)} =\frac{3}{4}\\✒\: \frac{5(1 -\frac{2}{11} )}{3(2-\frac{2}{11} )}=\frac{3}{4}\\✒\:\frac{5(\frac{11 – 2}{11} )}{3 (\frac{22 – 2}{11} )}=\frac{3}{4}\\✒\:\frac{5( \frac{9}{11} )}{3 (\frac{20}{11})}=\frac{3}{4}\\✒ \: \frac{ \frac{45}{11} }{ \frac{60}{11}}=\frac{3}{4}\\✒\:\frac{45\times11}{60\times 11}=\frac{3}{4}\\✒\:\frac{45}{60} = \frac{3}{4} \\ ✒\: \frac{3}{4}=\frac{3}{4}[/tex]

   [tex]\sf\purple{Hence\:verified.}[/tex]

   [tex]\large\colorbox{orange}{Happy\:learning.✌️}[/tex]

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2. Answer:

   1

   Step-by-step explanation:

   5(1-x) / 3(2-x) = 3/4

   = 5-5x / 6-3x = 3/4

   = 5-5x * 4 = 6-3x *3

   = 20-20x = 18-18x

   = 20-18 = -18x + 20x

   =2 = 2x

   then, x= 2/2

   Hence, x =1

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