Whakaoti i te 4200*2(100-x)=4200*1(x-20

$$4200 \times 2(100-x)=4200 \times 1(x-20$$

Whakaoti mō x

$$x = \frac{220}{3} = 73\frac{1}{3} \approx 73.333333333$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te 4200\times 2 ki te 100-x.

$$100\left(4200\times 2\right)-4200\times 2x=4200\times 1\left(x-20\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 4200\times 1 ki te x-20.

$$100\left(4200\times 2\right)-4200\times 2x=4200\times 1x-20\left(4200\times 1\right)$$

Tangohia te 4200\times 1x mai i ngā taha e rua.

$$100\left(4200\times 2\right)-4200\times 2x-4200\times 1x=-20\left(4200\times 1\right)$$

Tangohia te 100\left(4200\times 2\right) mai i ngā taha e rua.

$$-4200\times 2x-4200\times 1x=-20\left(4200\times 1\right)-100\left(4200\times 2\right)$$

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

$$\left(-4200\times 2-4200\times 1\right)x=-20\left(4200\times 1\right)-100\left(4200\times 2\right)$$

He hanga arowhānui tō te whārite.

$$-12600x=-924000$$

Whakawehea ngā taha e rua ki te -12600.

$$\frac{-12600x}{-12600}=-\frac{924000}{-12600}$$

Mā te whakawehe ki te -12600 ka wetekia te whakareanga ki te -12600.

$$x=-\frac{924000}{-12600}$$

Whakahekea te hautanga \frac{-924000}{-12600} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4200.

$$x=\frac{220}{3}$$