Question

решите плиз
е) 5-1/3x-1/2=1/4x
з) x/3+x/2=6

Answer 1

 е) условие можно прочитать по-разному:
$5 - frac{1}{3x} - frac{1}{2} = frac{1}{4x} \ \ 4 frac{1}{2} - frac{1}{3x} - frac{1}{4x} = 0 \ \ frac{9}{2} - frac{1}{3x} - frac{1}{4x} = 0 |*12x \ \ x neq 0 \ \ 9 * 6x - 1*4 - 1*3 = 0*12x \ \ 54x - 7 = 0 \ \ 54x = 7 \ \ x = frac{7}{54}$

$5 - frac{1}{3}x - frac{1}{2} = frac{1}{4}x \ \ 4 frac{1}{2} - frac{1}{3}x = frac{1}{4}x \ \ - frac{1}{3}x - frac{1}{4}x = - 4 frac{1}{2} \ \ - frac{1*4 + 1*3}{12} x = - frac{9}{2} | * (-1)\ \ frac{7}{12} x = frac{9}{2} \ \ x = frac{9}{2} :frac{7}{12} = frac{9}{2} * frac{12}{7} = frac{9*6}{1*7} = frac{54}{7} \ \ x = 7 frac{5}{7}$


з)
$frac{x}{3} + frac{x}{2} = 6 |*6 \ \ 2x + 3x = 6*6 \ \ 5x = 36 \ \ x= 36 : 5 \ \ x =7,2$