x+25/5+x=5/2/frac{16{5}} eching

$$\frac { x + 25 } { 5 + x } = \frac { \frac { 5 } { 2 } } { \frac { 16 } { 5 } }$$

x uchun yechish

$$x = -\frac{675}{7} = -96\frac{3}{7} \approx -96,428571429$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

x qiymati -5 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini x+5 ga ko'paytirish.

$$x+25=\left(x+5\right)\times \frac{\frac{5}{2}}{\frac{16}{5}}$$

\frac{5}{2} ni \frac{16}{5} ga bo'lish \frac{5}{2} ga k'paytirish \frac{16}{5} ga qaytarish.

$$x+25=\left(x+5\right)\times \frac{5}{2}\times \frac{5}{16}$$

\frac{25}{32} hosil qilish uchun \frac{5}{2} va \frac{5}{16} ni ko'paytirish.

$$x+25=\left(x+5\right)\times \frac{25}{32}$$

x+5 ga \frac{25}{32} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$x+25=\frac{25}{32}x+\frac{125}{32}$$

Ikkala tarafdan \frac{25}{32}x ni ayirish.

$$x+25-\frac{25}{32}x=\frac{125}{32}$$

\frac{7}{32}x ni olish uchun x va -\frac{25}{32}x ni birlashtirish.

$$\frac{7}{32}x+25=\frac{125}{32}$$

Ikkala tarafdan 25 ni ayirish.

$$\frac{7}{32}x=\frac{125}{32}-25$$

-\frac{675}{32} olish uchun \frac{125}{32} dan 25 ni ayirish.

$$\frac{7}{32}x=-\frac{675}{32}$$

Ikki tarafini \frac{32}{7} va teskari kasri \frac{7}{32} ga ko‘paytiring.

$$x=-\frac{675}{32}\times \frac{32}{7}$$

-\frac{675}{7} hosil qilish uchun -\frac{675}{32} va \frac{32}{7} ni ko'paytirish.

$$x=-\frac{675}{7}$$