1/2x-2(x-1/2y)-6(1/3x+1/2y)+frac{7}{2}x eching

$$\frac { 1 } { 2 } x - 2 ( x - \frac { 1 } { 2 } y ) - 6 ( \frac { 1 } { 3 } x + \frac { 1 } { 2 } y ) + \frac { 7 } { 2 } x$$

Baholash

$$-2y$$

Yechim qadamlari

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

$$\frac{1}{2}x-2x-2\left(-\frac{1}{2}\right)y-6\left(\frac{1}{3}x+\frac{1}{2}y\right)+\frac{7}{2}x$$

-2 ni -\frac{1}{2} marotabaga ko'paytirish.

$$\frac{1}{2}x-2x+y-6\left(\frac{1}{3}x+\frac{1}{2}y\right)+\frac{7}{2}x$$

-\frac{3}{2}x ni olish uchun \frac{1}{2}x va -2x ni birlashtirish.

$$-\frac{3}{2}x+y-6\left(\frac{1}{3}x+\frac{1}{2}y\right)+\frac{7}{2}x$$

-6 ga \frac{1}{3}x+\frac{1}{2}y ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-\frac{3}{2}x+y-6\times \frac{1}{3}x-6\times \frac{1}{2}y+\frac{7}{2}x$$

\frac{-6}{3} hosil qilish uchun -6 va \frac{1}{3} ni ko'paytirish.

$$-\frac{3}{2}x+y+\frac{-6}{3}x-6\times \frac{1}{2}y+\frac{7}{2}x$$

-2 ni olish uchun -6 ni 3 ga bo‘ling.

$$-\frac{3}{2}x+y-2x-6\times \frac{1}{2}y+\frac{7}{2}x$$

\frac{-6}{2} hosil qilish uchun -6 va \frac{1}{2} ni ko'paytirish.

$$-\frac{3}{2}x+y-2x+\frac{-6}{2}y+\frac{7}{2}x$$

-3 ni olish uchun -6 ni 2 ga bo‘ling.

$$-\frac{3}{2}x+y-2x-3y+\frac{7}{2}x$$

-\frac{7}{2}x ni olish uchun -\frac{3}{2}x va -2x ni birlashtirish.

$$-\frac{7}{2}x+y-3y+\frac{7}{2}x$$

-2y ni olish uchun y va -3y ni birlashtirish.

$$-\frac{7}{2}x-2y+\frac{7}{2}x$$

0 ni olish uchun -\frac{7}{2}x va \frac{7}{2}x ni birlashtirish.

$$-2y$$

Kengaytirish

$$-2y$$

Yechim qadamlari

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

$$\frac{1}{2}x-2x-2\left(-\frac{1}{2}\right)y-6\left(\frac{1}{3}x+\frac{1}{2}y\right)+\frac{7}{2}x$$

-2 ni -\frac{1}{2} marotabaga ko'paytirish.

$$\frac{1}{2}x-2x+y-6\left(\frac{1}{3}x+\frac{1}{2}y\right)+\frac{7}{2}x$$

-\frac{3}{2}x ni olish uchun \frac{1}{2}x va -2x ni birlashtirish.

$$-\frac{3}{2}x+y-6\left(\frac{1}{3}x+\frac{1}{2}y\right)+\frac{7}{2}x$$

-6 ga \frac{1}{3}x+\frac{1}{2}y ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-\frac{3}{2}x+y-6\times \frac{1}{3}x-6\times \frac{1}{2}y+\frac{7}{2}x$$

\frac{-6}{3} hosil qilish uchun -6 va \frac{1}{3} ni ko'paytirish.

$$-\frac{3}{2}x+y+\frac{-6}{3}x-6\times \frac{1}{2}y+\frac{7}{2}x$$

-2 ni olish uchun -6 ni 3 ga bo‘ling.

$$-\frac{3}{2}x+y-2x-6\times \frac{1}{2}y+\frac{7}{2}x$$

\frac{-6}{2} hosil qilish uchun -6 va \frac{1}{2} ni ko'paytirish.

$$-\frac{3}{2}x+y-2x+\frac{-6}{2}y+\frac{7}{2}x$$

-3 ni olish uchun -6 ni 2 ga bo‘ling.

$$-\frac{3}{2}x+y-2x-3y+\frac{7}{2}x$$

-\frac{7}{2}x ni olish uchun -\frac{3}{2}x va -2x ni birlashtirish.

$$-\frac{7}{2}x+y-3y+\frac{7}{2}x$$

-2y ni olish uchun y va -3y ni birlashtirish.

$$-\frac{7}{2}x-2y+\frac{7}{2}x$$

0 ni olish uchun -\frac{7}{2}x va \frac{7}{2}x ni birlashtirish.

$$-2y$$