Whakaoti i te 1/2x-2(x-1/2y)-6(1/3x+1/2y)+frac{7}{2}x

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

Aromātai

$$-2y$$

Ngā Upane Otinga

Whakamahia te āhuatanga tohatoha hei whakarea te -2 ki te x-\frac{1}{2}y.

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

Whakareatia -2 ki te -\frac{1}{2}.

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

Pahekotia te \frac{1}{2}x me -2x, ka -\frac{3}{2}x.

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

Whakamahia te āhuatanga tohatoha hei whakarea te -6 ki te \frac{1}{3}x+\frac{1}{2}y.

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

Whakareatia te -6 ki te \frac{1}{3}, ka \frac{-6}{3}.

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

Whakawehea te -6 ki te 3, kia riro ko -2.

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

Whakareatia te -6 ki te \frac{1}{2}, ka \frac{-6}{2}.

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

Whakawehea te -6 ki te 2, kia riro ko -3.

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

Pahekotia te -\frac{3}{2}x me -2x, ka -\frac{7}{2}x.

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

Pahekotia te y me -3y, ka -2y.

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

Pahekotia te -\frac{7}{2}x me \frac{7}{2}x, ka 0.

$$-2y$$

Whakaroha

$$-2y$$

Ngā Upane Otinga

Whakamahia te āhuatanga tohatoha hei whakarea te -2 ki te x-\frac{1}{2}y.

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

Whakareatia -2 ki te -\frac{1}{2}.

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

Pahekotia te \frac{1}{2}x me -2x, ka -\frac{3}{2}x.

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

Whakamahia te āhuatanga tohatoha hei whakarea te -6 ki te \frac{1}{3}x+\frac{1}{2}y.

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

Whakareatia te -6 ki te \frac{1}{3}, ka \frac{-6}{3}.

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

Whakawehea te -6 ki te 3, kia riro ko -2.

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

Whakareatia te -6 ki te \frac{1}{2}, ka \frac{-6}{2}.

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

Whakawehea te -6 ki te 2, kia riro ko -3.

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

Pahekotia te -\frac{3}{2}x me -2x, ka -\frac{7}{2}x.

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

Pahekotia te y me -3y, ka -2y.

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

Pahekotia te -\frac{7}{2}x me \frac{7}{2}x, ka 0.

$$-2y$$