Question

solve the following liner equations ​

Answer 1

x/2- 1/5 = x/3 +1/4

5x-2/10=4x+3/12

5x-2(12)=4x+3(10)

60x-24=40x+30

60x-40x=30+24

20x=54

x=54/20

Answer 2

⭐️Solution⭐️

$1) \: \huge \frac{x}{2} - \frac{1}{5} = \frac{x}{3} + \frac{1}{4}$

$= ) \: \frac{x}{2} - \frac{x}{3} = \frac{1}{4} + \frac{1}{5}$

$= ) \: \frac{3x - 2x}{6} = \frac{5 + 4}{20}$

$= ) \: \frac{x}{6} = \frac{9}{20}$

$= ) \: x = \frac{9}{20} \times \frac{6}{1}$

$= ) \: x = \frac{27}{10} = 2.7$

$2) \: \huge \frac{3t - 2}{4} - \frac{2t - 3}{3} = \frac{2}{3} - t$

$= ) \: \frac{3(3t - 2) - 4(2t - 3)}{12} = \frac{2 - 3t}{3}$

$= ) \: \frac{9t - 6 - 8t - 12}{12} = \frac{2 - 3t}{3}$

$= ) \: \frac{t - 8}{12} = \frac{2 - 3t}{3}$

$= ) \: 3(t - 18) = 12(2 - 3t)$$= ) \: 3t - 54 = 24 - 36t$

$= ) \: 3t - 36t = 24 + 54$

$= ) \: 39t = 78$

$= ) \: t = \frac{78}{39}$

$= ) \: t = 2$