15/4-3/2y-5y=7 eching

$$\frac { 15 } { 4 } - \frac { 3 } { 2 } y - 5 y = 7$$

y uchun yechish

$$y=-\frac{1}{2}=-0,5$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

-\frac{13}{2}y ni olish uchun -\frac{3}{2}y va -5y ni birlashtirish.

$$\frac{15}{4}-\frac{13}{2}y=7$$

Ikkala tarafdan \frac{15}{4} ni ayirish.

$$-\frac{13}{2}y=7-\frac{15}{4}$$

7 ni \frac{28}{4} kasrga o‘giring.

$$-\frac{13}{2}y=\frac{28}{4}-\frac{15}{4}$$

\frac{28}{4} va \frac{15}{4} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$-\frac{13}{2}y=\frac{28-15}{4}$$

13 olish uchun 28 dan 15 ni ayirish.

$$-\frac{13}{2}y=\frac{13}{4}$$

Ikki tarafini -\frac{2}{13} va teskari kasri -\frac{13}{2} ga ko‘paytiring.

$$y=\frac{13}{4}\left(-\frac{2}{13}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{13}{4} ni -\frac{2}{13} ga ko‘paytiring.

$$y=\frac{13\left(-2\right)}{4\times 13}$$

Surat va maxrajdagi ikkala 13 ni qisqartiring.

$$y=\frac{-2}{4}$$

\frac{-2}{4} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$y=-\frac{1}{2}$$