y=(4t-1)(3t-2)^-1 eching

$$y = ( 4 t - 1 ) ( 3 t - 2 ) ^ { - 1 }$$

t uchun yechish

$$t=-\frac{1-2y}{3y-4}$$

$$y\neq \frac{4}{3}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

4t-1 ga \left(3t-2\right)^{-1} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$y=4t\left(3t-2\right)^{-1}-\left(3t-2\right)^{-1}$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$4t\left(3t-2\right)^{-1}-\left(3t-2\right)^{-1}=y$$

Shartlarni qayta saralash.

$$4\times \frac{1}{3t-2}t-\frac{1}{3t-2}=y$$

t qiymati \frac{2}{3} teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini 3t-2 ga ko'paytirish.

$$4\times 1t-1=y\left(3t-2\right)$$

Ko‘paytirishlarni bajaring.

$$4t-1=y\left(3t-2\right)$$

y ga 3t-2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$4t-1=3yt-2y$$

Ikkala tarafdan 3yt ni ayirish.

$$4t-1-3yt=-2y$$

1 ni ikki tarafga qo’shing.

$$4t-3yt=-2y+1$$

t'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(4-3y\right)t=-2y+1$$

Tenglama standart shaklda.

$$\left(4-3y\right)t=1-2y$$

Ikki tarafini 4-3y ga bo‘ling.

$$\frac{\left(4-3y\right)t}{4-3y}=\frac{1-2y}{4-3y}$$

4-3y ga bo'lish 4-3y ga ko'paytirishni bekor qiladi.

$$t=\frac{1-2y}{4-3y}$$

t qiymati \frac{2}{3} teng bo‘lmaydi.

$$t=\frac{1-2y}{4-3y}\text{, }t\neq \frac{2}{3}$$

y uchun yechish

$$y=-\frac{1-4t}{3t-2}$$

$$t\neq \frac{2}{3}$$