Whakaoti i te (45-x)-23*25/3x=y

$$\frac { ( 45 - x ) - 23 \cdot 25 } { 3 x } = y$$

Whakaoti mō x

$$x=-\frac{530}{3y+1}$$

$$y\neq -\frac{1}{3}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe x ki 0 nā te kore tautuhi i te whakawehenga mā te kore. Whakareatia ngā taha e rua o te whārite ki te 3x.

$$45-x-23\times 25=y\times 3x$$

Whakareatia te 23 ki te 25, ka 575.

$$45-x-575=y\times 3x$$

Tangohia te 575 i te 45, ka -530.

$$-530-x=y\times 3x$$

Tangohia te y\times 3x mai i ngā taha e rua.

$$-530-x-y\times 3x=0$$

Whakareatia te -1 ki te 3, ka -3.

$$-530-x-3yx=0$$

Me tāpiri te 530 ki ngā taha e rua. Ko te tau i tāpiria he kore ka hua koia tonu.

$$-x-3yx=530$$

Pahekotia ngā kīanga tau katoa e whai ana i te x.

$$\left(-1-3y\right)x=530$$

He hanga arowhānui tō te whārite.

$$\left(-3y-1\right)x=530$$

Whakawehea ngā taha e rua ki te -1-3y.

$$\frac{\left(-3y-1\right)x}{-3y-1}=\frac{530}{-3y-1}$$

Mā te whakawehe ki te -1-3y ka wetekia te whakareanga ki te -1-3y.

$$x=\frac{530}{-3y-1}$$

Whakawehe 530 ki te -1-3y.

$$x=-\frac{530}{3y+1}$$

Tē taea kia ōrite te tāupe x ki 0.

$$x=-\frac{530}{3y+1}\text{, }x\neq 0$$

Whakaoti mō y

$$y=-\frac{1}{3}-\frac{530}{3x}$$

$$x\neq 0$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia ngā taha e rua o te whārite ki te 3x.

$$45-x-23\times 25=y\times 3x$$

Whakareatia te 23 ki te 25, ka 575.

$$45-x-575=y\times 3x$$

Tangohia te 575 i te 45, ka -530.

$$-530-x=y\times 3x$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$y\times 3x=-530-x$$

He hanga arowhānui tō te whārite.

$$3xy=-x-530$$

Whakawehea ngā taha e rua ki te 3x.

$$\frac{3xy}{3x}=\frac{-x-530}{3x}$$

Mā te whakawehe ki te 3x ka wetekia te whakareanga ki te 3x.

$$y=\frac{-x-530}{3x}$$

Whakawehe -530-x ki te 3x.

$$y=-\frac{1}{3}-\frac{530}{3x}$$