-1/4=1/2x-8/7 eching

$$- \frac { 1 } { 4 } = \frac { 1 } { 2 } x - \frac { 8 } { 7 }$$

x uchun yechish

$$x = \frac{25}{14} = 1\frac{11}{14} \approx 1,785714286$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$\frac{1}{2}x-\frac{8}{7}=-\frac{1}{4}$$

\frac{8}{7} ni ikki tarafga qo’shing.

$$\frac{1}{2}x=-\frac{1}{4}+\frac{8}{7}$$

4 va 7 ning eng kichik umumiy karralisi 28 ga teng. -\frac{1}{4} va \frac{8}{7} ni 28 maxraj bilan kasrlarga aylantirib oling.

$$\frac{1}{2}x=-\frac{7}{28}+\frac{32}{28}$$

-\frac{7}{28} va \frac{32}{28} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{1}{2}x=\frac{-7+32}{28}$$

25 olish uchun -7 va 32'ni qo'shing.

$$\frac{1}{2}x=\frac{25}{28}$$

Ikki tarafini 2 va teskari kasri \frac{1}{2} ga ko‘paytiring.

$$x=\frac{25}{28}\times 2$$

\frac{25}{28}\times 2 ni yagona kasrga aylantiring.

$$x=\frac{25\times 2}{28}$$

50 hosil qilish uchun 25 va 2 ni ko'paytirish.

$$x=\frac{50}{28}$$

\frac{50}{28} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=\frac{25}{14}$$