B=a-1/3+a+1/4-1 eching

$$B = \frac { a - 1 } { 3 } + \frac { a + 1 } { 4 } - 1$$

B uchun yechish

$$B=\frac{7a-13}{12}$$

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 3 va 4 ning eng kichik umumiy karralisi 12. \frac{a-1}{3} ni \frac{4}{4} marotabaga ko'paytirish. \frac{a+1}{4} ni \frac{3}{3} marotabaga ko'paytirish.

$$B=\frac{4\left(a-1\right)}{12}+\frac{3\left(a+1\right)}{12}-1$$

\frac{4\left(a-1\right)}{12} va \frac{3\left(a+1\right)}{12} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$B=\frac{4\left(a-1\right)+3\left(a+1\right)}{12}-1$$

4\left(a-1\right)+3\left(a+1\right) ichidagi ko‘paytirishlarni bajaring.

$$B=\frac{4a-4+3a+3}{12}-1$$

4a-4+3a+3 kabi iboralarga o‘xshab birlashtiring.

$$B=\frac{7a-1}{12}-1$$

\frac{7}{12}a-\frac{1}{12} natijani olish uchun 7a-1 ning har bir ifodasini 12 ga bo‘ling.

$$B=\frac{7}{12}a-\frac{1}{12}-1$$

-\frac{13}{12} olish uchun -\frac{1}{12} dan 1 ni ayirish.

$$B=\frac{7}{12}a-\frac{13}{12}$$

a uchun yechish

$$a=\frac{12B+13}{7}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 3 va 4 ning eng kichik umumiy karralisi 12. \frac{a-1}{3} ni \frac{4}{4} marotabaga ko'paytirish. \frac{a+1}{4} ni \frac{3}{3} marotabaga ko'paytirish.

$$B=\frac{4\left(a-1\right)}{12}+\frac{3\left(a+1\right)}{12}-1$$

\frac{4\left(a-1\right)}{12} va \frac{3\left(a+1\right)}{12} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$B=\frac{4\left(a-1\right)+3\left(a+1\right)}{12}-1$$

4\left(a-1\right)+3\left(a+1\right) ichidagi ko‘paytirishlarni bajaring.

$$B=\frac{4a-4+3a+3}{12}-1$$

4a-4+3a+3 kabi iboralarga o‘xshab birlashtiring.

$$B=\frac{7a-1}{12}-1$$

\frac{7}{12}a-\frac{1}{12} natijani olish uchun 7a-1 ning har bir ifodasini 12 ga bo‘ling.

$$B=\frac{7}{12}a-\frac{1}{12}-1$$

-\frac{13}{12} olish uchun -\frac{1}{12} dan 1 ni ayirish.

$$B=\frac{7}{12}a-\frac{13}{12}$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$\frac{7}{12}a-\frac{13}{12}=B$$

\frac{13}{12} ni ikki tarafga qo’shing.

$$\frac{7}{12}a=B+\frac{13}{12}$$

Tenglamaning ikki tarafini \frac{7}{12} ga bo'lish, bu kasrni qaytarish orqali ikkala tarafga ko'paytirish bilan aynidir.

$$\frac{\frac{7}{12}a}{\frac{7}{12}}=\frac{B+\frac{13}{12}}{\frac{7}{12}}$$

\frac{7}{12} ga bo'lish \frac{7}{12} ga ko'paytirishni bekor qiladi.

$$a=\frac{B+\frac{13}{12}}{\frac{7}{12}}$$

B+\frac{13}{12} ni \frac{7}{12} ga bo'lish B+\frac{13}{12} ga k'paytirish \frac{7}{12} ga qaytarish.

$$a=\frac{12B+13}{7}$$