Whakaoti i te 2(4y+6z-1)+3y-4left(5x-3y-1right)=9

$$2(4y+6z-1)+3y-4 \left( 5x-3y-1 \right) = 9$$

Whakaoti mō x

$$x=\frac{3z}{5}+\frac{23y}{20}-\frac{7}{20}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te 2 ki te 4y+6z-1.

$$8y+12z-2+3y-4\left(5x-3y-1\right)=9$$

Pahekotia te 8y me 3y, ka 11y.

$$11y+12z-2-4\left(5x-3y-1\right)=9$$

Whakamahia te āhuatanga tohatoha hei whakarea te -4 ki te 5x-3y-1.

$$11y+12z-2-20x+12y+4=9$$

Pahekotia te 11y me 12y, ka 23y.

$$23y+12z-2-20x+4=9$$

Tāpirihia te -2 ki te 4, ka 2.

$$23y+12z+2-20x=9$$

Tangohia te 23y mai i ngā taha e rua.

$$12z+2-20x=9-23y$$

Tangohia te 12z mai i ngā taha e rua.

$$2-20x=9-23y-12z$$

Tangohia te 2 mai i ngā taha e rua.

$$-20x=9-23y-12z-2$$

Tangohia te 2 i te 9, ka 7.

$$-20x=7-23y-12z$$

He hanga arowhānui tō te whārite.

$$-20x=7-12z-23y$$

Whakawehea ngā taha e rua ki te -20.

$$\frac{-20x}{-20}=\frac{7-12z-23y}{-20}$$

Mā te whakawehe ki te -20 ka wetekia te whakareanga ki te -20.

$$x=\frac{7-12z-23y}{-20}$$

Whakawehe 7-23y-12z ki te -20.

$$x=\frac{3z}{5}+\frac{23y}{20}-\frac{7}{20}$$

Whakaoti mō y

$$y=\frac{20x-12z+7}{23}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te 2 ki te 4y+6z-1.

$$8y+12z-2+3y-4\left(5x-3y-1\right)=9$$

Pahekotia te 8y me 3y, ka 11y.

$$11y+12z-2-4\left(5x-3y-1\right)=9$$

Whakamahia te āhuatanga tohatoha hei whakarea te -4 ki te 5x-3y-1.

$$11y+12z-2-20x+12y+4=9$$

Pahekotia te 11y me 12y, ka 23y.

$$23y+12z-2-20x+4=9$$

Tāpirihia te -2 ki te 4, ka 2.

$$23y+12z+2-20x=9$$

Tangohia te 12z mai i ngā taha e rua.

$$23y+2-20x=9-12z$$

Tangohia te 2 mai i ngā taha e rua.

$$23y-20x=9-12z-2$$

Tangohia te 2 i te 9, ka 7.

$$23y-20x=7-12z$$

Me tāpiri te 20x ki ngā taha e rua.

$$23y=7-12z+20x$$

He hanga arowhānui tō te whārite.

$$23y=20x-12z+7$$

Whakawehea ngā taha e rua ki te 23.

$$\frac{23y}{23}=\frac{20x-12z+7}{23}$$

Mā te whakawehe ki te 23 ka wetekia te whakareanga ki te 23.

$$y=\frac{20x-12z+7}{23}$$