32%x+16%=144-12%x eching

$$32 \% x + 16 \% = 144 - 12 \% x$$

x uchun yechish

$$x = \frac{3596}{11} = 326\frac{10}{11} \approx 326,909090909$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\frac{32}{100} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{8}{25}x+\frac{16}{100}=144-\frac{12}{100}x$$

\frac{16}{100} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{8}{25}x+\frac{4}{25}=144-\frac{12}{100}x$$

\frac{12}{100} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{8}{25}x+\frac{4}{25}=144-\frac{3}{25}x$$

\frac{3}{25}x ni ikki tarafga qo’shing.

$$\frac{8}{25}x+\frac{4}{25}+\frac{3}{25}x=144$$

\frac{11}{25}x ni olish uchun \frac{8}{25}x va \frac{3}{25}x ni birlashtirish.

$$\frac{11}{25}x+\frac{4}{25}=144$$

Ikkala tarafdan \frac{4}{25} ni ayirish.

$$\frac{11}{25}x=144-\frac{4}{25}$$

144 ni \frac{3600}{25} kasrga o‘giring.

$$\frac{11}{25}x=\frac{3600}{25}-\frac{4}{25}$$

\frac{3600}{25} va \frac{4}{25} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{11}{25}x=\frac{3600-4}{25}$$

3596 olish uchun 3600 dan 4 ni ayirish.

$$\frac{11}{25}x=\frac{3596}{25}$$

Ikki tarafini \frac{25}{11} va teskari kasri \frac{11}{25} ga ko‘paytiring.

$$x=\frac{3596}{25}\times \frac{25}{11}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{3596}{25} ni \frac{25}{11} ga ko‘paytiring.

$$x=\frac{3596\times 25}{25\times 11}$$

Surat va maxrajdagi ikkala 25 ni qisqartiring.

$$x=\frac{3596}{11}$$