2/5(2-x)=7/4(x-4) eching

$$\frac { 2 } { 5 } ( 2 - x ) = \frac { 7 } { 4 } ( x - 4 )$$

x uchun yechish

$$x = \frac{156}{43} = 3\frac{27}{43} \approx 3,627906977$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$\frac{2}{5}\times 2+\frac{2}{5}\left(-1\right)x=\frac{7}{4}\left(x-4\right)$$

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

$$\frac{2\times 2}{5}+\frac{2}{5}\left(-1\right)x=\frac{7}{4}\left(x-4\right)$$

4 hosil qilish uchun 2 va 2 ni ko'paytirish.

$$\frac{4}{5}+\frac{2}{5}\left(-1\right)x=\frac{7}{4}\left(x-4\right)$$

-\frac{2}{5} hosil qilish uchun \frac{2}{5} va -1 ni ko'paytirish.

$$\frac{4}{5}-\frac{2}{5}x=\frac{7}{4}\left(x-4\right)$$

\frac{7}{4} ga x-4 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{4}{5}-\frac{2}{5}x=\frac{7}{4}x+\frac{7}{4}\left(-4\right)$$

\frac{7}{4}\left(-4\right) ni yagona kasrga aylantiring.

$$\frac{4}{5}-\frac{2}{5}x=\frac{7}{4}x+\frac{7\left(-4\right)}{4}$$

-28 hosil qilish uchun 7 va -4 ni ko'paytirish.

$$\frac{4}{5}-\frac{2}{5}x=\frac{7}{4}x+\frac{-28}{4}$$

-7 ni olish uchun -28 ni 4 ga bo‘ling.

$$\frac{4}{5}-\frac{2}{5}x=\frac{7}{4}x-7$$

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

$$\frac{4}{5}-\frac{2}{5}x-\frac{7}{4}x=-7$$

-\frac{43}{20}x ni olish uchun -\frac{2}{5}x va -\frac{7}{4}x ni birlashtirish.

$$\frac{4}{5}-\frac{43}{20}x=-7$$

Ikkala tarafdan \frac{4}{5} ni ayirish.

$$-\frac{43}{20}x=-7-\frac{4}{5}$$

-7 ni -\frac{35}{5} kasrga o‘giring.

$$-\frac{43}{20}x=-\frac{35}{5}-\frac{4}{5}$$

-\frac{35}{5} va \frac{4}{5} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$-\frac{43}{20}x=\frac{-35-4}{5}$$

-39 olish uchun -35 dan 4 ni ayirish.

$$-\frac{43}{20}x=-\frac{39}{5}$$

Ikki tarafini -\frac{20}{43} va teskari kasri -\frac{43}{20} ga ko‘paytiring.

$$x=-\frac{39}{5}\left(-\frac{20}{43}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali -\frac{39}{5} ni -\frac{20}{43} ga ko‘paytiring.

$$x=\frac{-39\left(-20\right)}{5\times 43}$$

\frac{-39\left(-20\right)}{5\times 43} kasridagi ko‘paytirishlarni bajaring.

$$x=\frac{780}{215}$$

\frac{780}{215} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=\frac{156}{43}$$