Whakaoti i te n/9*+4/7(1000-x)=999

$$\frac { n } { 9 } \times + \frac { 4 } { 7 } ( 1000 - x ) = 999$$

Whakaoti mō n

$$n=\frac{62937}{4\left(1000-x\right)}$$

$$x\neq 1000$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 63, arā, te tauraro pātahi he tino iti rawa te kitea o 9,7.

$$7n\times \frac{4}{7}\left(1000-x\right)=62937$$

Whakareatia te 7 ki te \frac{4}{7}, ka 4.

$$4n\left(1000-x\right)=62937$$

Whakamahia te āhuatanga tohatoha hei whakarea te 4n ki te 1000-x.

$$4000n-4nx=62937$$

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

$$\left(4000-4x\right)n=62937$$

Whakawehea ngā taha e rua ki te -4x+4000.

$$\frac{\left(4000-4x\right)n}{4000-4x}=\frac{62937}{4000-4x}$$

Mā te whakawehe ki te -4x+4000 ka wetekia te whakareanga ki te -4x+4000.

$$n=\frac{62937}{4000-4x}$$

Whakawehe 62937 ki te -4x+4000.

$$n=\frac{62937}{4\left(1000-x\right)}$$

Whakaoti mō x

$$x=1000-\frac{62937}{4n}$$

$$n\neq 0$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 63, arā, te tauraro pātahi he tino iti rawa te kitea o 9,7.

$$7n\times \frac{4}{7}\left(1000-x\right)=62937$$

Whakareatia te 7 ki te \frac{4}{7}, ka 4.

$$4n\left(1000-x\right)=62937$$

Whakamahia te āhuatanga tohatoha hei whakarea te 4n ki te 1000-x.

$$4000n-4xn=62937$$

Tangohia te 4000n mai i ngā taha e rua.

$$-4xn=62937-4000n$$

He hanga arowhānui tō te whārite.

$$\left(-4n\right)x=62937-4000n$$

Whakawehea ngā taha e rua ki te -4n.

$$\frac{\left(-4n\right)x}{-4n}=\frac{62937-4000n}{-4n}$$

Mā te whakawehe ki te -4n ka wetekia te whakareanga ki te -4n.

$$x=\frac{62937-4000n}{-4n}$$

Whakawehe 62937-4000n ki te -4n.

$$x=1000-\frac{62937}{4n}$$