Whakaoti i te 3(1-3x)+4(x-2y)+2(y-2x)=15

$$3 ( 1 - 3 x ) + 4 ( x - 2 y ) + 2 ( y - 2 x ) = 15$$

Whakaoti mō x

$$x=\frac{-2y-4}{3}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$3-9x+4\left(x-2y\right)+2\left(y-2x\right)=15$$

Whakamahia te āhuatanga tohatoha hei whakarea te 4 ki te x-2y.

$$3-9x+4x-8y+2\left(y-2x\right)=15$$

Pahekotia te -9x me 4x, ka -5x.

$$3-5x-8y+2\left(y-2x\right)=15$$

Whakamahia te āhuatanga tohatoha hei whakarea te 2 ki te y-2x.

$$3-5x-8y+2y-4x=15$$

Pahekotia te -8y me 2y, ka -6y.

$$3-5x-6y-4x=15$$

Pahekotia te -5x me -4x, ka -9x.

$$3-9x-6y=15$$

Tangohia te 3 mai i ngā taha e rua.

$$-9x-6y=15-3$$

Tangohia te 3 i te 15, ka 12.

$$-9x-6y=12$$

Me tāpiri te 6y ki ngā taha e rua.

$$-9x=12+6y$$

He hanga arowhānui tō te whārite.

$$-9x=6y+12$$

Whakawehea ngā taha e rua ki te -9.

$$\frac{-9x}{-9}=\frac{6y+12}{-9}$$

Mā te whakawehe ki te -9 ka wetekia te whakareanga ki te -9.

$$x=\frac{6y+12}{-9}$$

Whakawehe 12+6y ki te -9.

$$x=\frac{-2y-4}{3}$$

Whakaoti mō y

$$y=-\frac{3x}{2}-2$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$3-9x+4\left(x-2y\right)+2\left(y-2x\right)=15$$

Whakamahia te āhuatanga tohatoha hei whakarea te 4 ki te x-2y.

$$3-9x+4x-8y+2\left(y-2x\right)=15$$

Pahekotia te -9x me 4x, ka -5x.

$$3-5x-8y+2\left(y-2x\right)=15$$

Whakamahia te āhuatanga tohatoha hei whakarea te 2 ki te y-2x.

$$3-5x-8y+2y-4x=15$$

Pahekotia te -8y me 2y, ka -6y.

$$3-5x-6y-4x=15$$

Pahekotia te -5x me -4x, ka -9x.

$$3-9x-6y=15$$

Tangohia te 3 mai i ngā taha e rua.

$$-9x-6y=15-3$$

Tangohia te 3 i te 15, ka 12.

$$-9x-6y=12$$

Me tāpiri te 9x ki ngā taha e rua.

$$-6y=12+9x$$

He hanga arowhānui tō te whārite.

$$-6y=9x+12$$

Whakawehea ngā taha e rua ki te -6.

$$\frac{-6y}{-6}=\frac{9x+12}{-6}$$

Mā te whakawehe ki te -6 ka wetekia te whakareanga ki te -6.

$$y=\frac{9x+12}{-6}$$

Whakawehe 12+9x ki te -6.

$$y=-\frac{3x}{2}-2$$