1/2(x+3)+3/4(2/3x-10/3) eching

$$\frac { 1 } { 2 } ( x + 3 ) + \frac { 3 } { 4 } ( \frac { 2 } { 3 } x - \frac { 10 } { 3 } )$$

Baholash

$$x-1$$

Yechim qadamlari

\frac{1}{2} ga x+3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{1}{2}x+\frac{1}{2}\times 3+\frac{3}{4}\left(\frac{2}{3}x-\frac{10}{3}\right)$$

\frac{3}{2} hosil qilish uchun \frac{1}{2} va 3 ni ko'paytirish.

$$\frac{1}{2}x+\frac{3}{2}+\frac{3}{4}\left(\frac{2}{3}x-\frac{10}{3}\right)$$

\frac{3}{4} ga \frac{2}{3}x-\frac{10}{3} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{1}{2}x+\frac{3}{2}+\frac{3}{4}\times \frac{2}{3}x+\frac{3}{4}\left(-\frac{10}{3}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{3}{4} ni \frac{2}{3} ga ko‘paytiring.

$$\frac{1}{2}x+\frac{3}{2}+\frac{3\times 2}{4\times 3}x+\frac{3}{4}\left(-\frac{10}{3}\right)$$

Surat va maxrajdagi ikkala 3 ni qisqartiring.

$$\frac{1}{2}x+\frac{3}{2}+\frac{2}{4}x+\frac{3}{4}\left(-\frac{10}{3}\right)$$

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

$$\frac{1}{2}x+\frac{3}{2}+\frac{1}{2}x+\frac{3}{4}\left(-\frac{10}{3}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{3}{4} ni -\frac{10}{3} ga ko‘paytiring.

$$\frac{1}{2}x+\frac{3}{2}+\frac{1}{2}x+\frac{3\left(-10\right)}{4\times 3}$$

Surat va maxrajdagi ikkala 3 ni qisqartiring.

$$\frac{1}{2}x+\frac{3}{2}+\frac{1}{2}x+\frac{-10}{4}$$

\frac{-10}{4} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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

x ni olish uchun \frac{1}{2}x va \frac{1}{2}x ni birlashtirish.

$$x+\frac{3}{2}-\frac{5}{2}$$

\frac{3}{2} va \frac{5}{2} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$x+\frac{3-5}{2}$$

-2 olish uchun 3 dan 5 ni ayirish.

$$x+\frac{-2}{2}$$

-1 ni olish uchun -2 ni 2 ga bo‘ling.

$$x-1$$

Kengaytirish

$$x-1$$

Yechim qadamlari

\frac{1}{2} ga x+3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{1}{2}x+\frac{1}{2}\times 3+\frac{3}{4}\left(\frac{2}{3}x-\frac{10}{3}\right)$$

\frac{3}{2} hosil qilish uchun \frac{1}{2} va 3 ni ko'paytirish.

$$\frac{1}{2}x+\frac{3}{2}+\frac{3}{4}\left(\frac{2}{3}x-\frac{10}{3}\right)$$

\frac{3}{4} ga \frac{2}{3}x-\frac{10}{3} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{1}{2}x+\frac{3}{2}+\frac{3}{4}\times \frac{2}{3}x+\frac{3}{4}\left(-\frac{10}{3}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{3}{4} ni \frac{2}{3} ga ko‘paytiring.

$$\frac{1}{2}x+\frac{3}{2}+\frac{3\times 2}{4\times 3}x+\frac{3}{4}\left(-\frac{10}{3}\right)$$

Surat va maxrajdagi ikkala 3 ni qisqartiring.

$$\frac{1}{2}x+\frac{3}{2}+\frac{2}{4}x+\frac{3}{4}\left(-\frac{10}{3}\right)$$

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

$$\frac{1}{2}x+\frac{3}{2}+\frac{1}{2}x+\frac{3}{4}\left(-\frac{10}{3}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{3}{4} ni -\frac{10}{3} ga ko‘paytiring.

$$\frac{1}{2}x+\frac{3}{2}+\frac{1}{2}x+\frac{3\left(-10\right)}{4\times 3}$$

Surat va maxrajdagi ikkala 3 ni qisqartiring.

$$\frac{1}{2}x+\frac{3}{2}+\frac{1}{2}x+\frac{-10}{4}$$

\frac{-10}{4} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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

x ni olish uchun \frac{1}{2}x va \frac{1}{2}x ni birlashtirish.

$$x+\frac{3}{2}-\frac{5}{2}$$

\frac{3}{2} va \frac{5}{2} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$x+\frac{3-5}{2}$$

-2 olish uchun 3 dan 5 ni ayirish.

$$x+\frac{-2}{2}$$

-1 ni olish uchun -2 ni 2 ga bo‘ling.

$$x-1$$