Question

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

Answer 1

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

Plz rate this answer

Answer 2

$\circ \: \: { \underline{ \boxed{ \sf{ \color{red}{SoLuTiOn⤵}}}}}∘$

✅ $x = \frac{2}{11}$

${\boxed{\mathcal{\blue{Step-by-step\:explanation:-}}}}$

$\frac{5 \: (1 - x)}{3 \: (2 - x)} = \frac{3}{4} \\ ➪ \: \frac{5 - 5x}{6 - 3x} = \frac{3}{4} \\ ➪ \: 4 \: (5 - 5x) = 3 \: (6 - 3x) \: \\ ➪ \: 20 - 20x = 18 - 9x \\ ➪ \: - 20x + 9x = 18 - 20 \\ ➪ \: - 11x = - 2 \\ ➪ \: x = \frac{2}{11}$

${\boxed{\mathcal{\green{To\:verify:-}}}}$

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

$\sf\purple{Hence\:verified.}$

$\large\colorbox{orange}{Happy\:learning.✌️}$