5/6(2x+14)=7/12(3x+20) eching

$$\frac { 5 } { 6 } ( 2 x + 14 ) = \frac { 7 } { 12 } ( 3 x + 20 )$$

x uchun yechish

$$x=0$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\frac{5}{6} ga 2x+14 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{5}{6}\times 2x+\frac{5}{6}\times 14=\frac{7}{12}\left(3x+20\right)$$

\frac{5}{6}\times 2 ni yagona kasrga aylantiring.

$$\frac{5\times 2}{6}x+\frac{5}{6}\times 14=\frac{7}{12}\left(3x+20\right)$$

10 hosil qilish uchun 5 va 2 ni ko'paytirish.

$$\frac{10}{6}x+\frac{5}{6}\times 14=\frac{7}{12}\left(3x+20\right)$$

\frac{10}{6} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{5}{3}x+\frac{5}{6}\times 14=\frac{7}{12}\left(3x+20\right)$$

\frac{5}{6}\times 14 ni yagona kasrga aylantiring.

$$\frac{5}{3}x+\frac{5\times 14}{6}=\frac{7}{12}\left(3x+20\right)$$

70 hosil qilish uchun 5 va 14 ni ko'paytirish.

$$\frac{5}{3}x+\frac{70}{6}=\frac{7}{12}\left(3x+20\right)$$

\frac{70}{6} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{5}{3}x+\frac{35}{3}=\frac{7}{12}\left(3x+20\right)$$

\frac{7}{12} ga 3x+20 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{5}{3}x+\frac{35}{3}=\frac{7}{12}\times 3x+\frac{7}{12}\times 20$$

\frac{7}{12}\times 3 ni yagona kasrga aylantiring.

$$\frac{5}{3}x+\frac{35}{3}=\frac{7\times 3}{12}x+\frac{7}{12}\times 20$$

21 hosil qilish uchun 7 va 3 ni ko'paytirish.

$$\frac{5}{3}x+\frac{35}{3}=\frac{21}{12}x+\frac{7}{12}\times 20$$

\frac{21}{12} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{5}{3}x+\frac{35}{3}=\frac{7}{4}x+\frac{7}{12}\times 20$$

\frac{7}{12}\times 20 ni yagona kasrga aylantiring.

$$\frac{5}{3}x+\frac{35}{3}=\frac{7}{4}x+\frac{7\times 20}{12}$$

140 hosil qilish uchun 7 va 20 ni ko'paytirish.

$$\frac{5}{3}x+\frac{35}{3}=\frac{7}{4}x+\frac{140}{12}$$

\frac{140}{12} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{5}{3}x+\frac{35}{3}=\frac{7}{4}x+\frac{35}{3}$$

Ikkala tarafdan \frac{7}{4}x ni ayirish.

$$\frac{5}{3}x+\frac{35}{3}-\frac{7}{4}x=\frac{35}{3}$$

-\frac{1}{12}x ni olish uchun \frac{5}{3}x va -\frac{7}{4}x ni birlashtirish.

$$-\frac{1}{12}x+\frac{35}{3}=\frac{35}{3}$$

Ikkala tarafdan \frac{35}{3} ni ayirish.

$$-\frac{1}{12}x=\frac{35}{3}-\frac{35}{3}$$

0 olish uchun \frac{35}{3} dan \frac{35}{3} ni ayirish.

$$-\frac{1}{12}x=0$$

Ikki son koʻpaytmasi 0 ga teng, agar kamida bittasi 0 bo‘lsa. -\frac{1}{12} 0 ga teng bo‘lmasa, x 0 ga teng bo‘lishi kerak.

$$x=0$$