5/9x-5/3=3/4x-1/2 eching

$$\frac{ 5 }{ 9 } x- \frac{ 5 }{ 3 } = \frac{ 3 }{ 4 } x- \frac{ 1 }{ 2 }$$

x uchun yechish

$$x=-6$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikkala tarafdan \frac{3}{4}x ni ayirish.

$$\frac{5}{9}x-\frac{5}{3}-\frac{3}{4}x=-\frac{1}{2}$$

-\frac{7}{36}x ni olish uchun \frac{5}{9}x va -\frac{3}{4}x ni birlashtirish.

$$-\frac{7}{36}x-\frac{5}{3}=-\frac{1}{2}$$

\frac{5}{3} ni ikki tarafga qo’shing.

$$-\frac{7}{36}x=-\frac{1}{2}+\frac{5}{3}$$

2 va 3 ning eng kichik umumiy karralisi 6 ga teng. -\frac{1}{2} va \frac{5}{3} ni 6 maxraj bilan kasrlarga aylantirib oling.

$$-\frac{7}{36}x=-\frac{3}{6}+\frac{10}{6}$$

-\frac{3}{6} va \frac{10}{6} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$-\frac{7}{36}x=\frac{-3+10}{6}$$

7 olish uchun -3 va 10'ni qo'shing.

$$-\frac{7}{36}x=\frac{7}{6}$$

Ikki tarafini -\frac{36}{7} va teskari kasri -\frac{7}{36} ga ko‘paytiring.

$$x=\frac{7}{6}\left(-\frac{36}{7}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{7}{6} ni -\frac{36}{7} ga ko‘paytiring.

$$x=\frac{7\left(-36\right)}{6\times 7}$$

Surat va maxrajdagi ikkala 7 ni qisqartiring.

$$x=\frac{-36}{6}$$

-6 ni olish uchun -36 ni 6 ga bo‘ling.

$$x=-6$$