Whakaoti i te 175/2quadx-2/5=x-1/6

$$\frac { 175 } { 2 } \quad \frac { x - 2 } { 5 } = \frac { x - 1 } { 6 }$$

Whakaoti mō x

$$x = \frac{209}{104} = 2\frac{1}{104} \approx 2.009615385$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 30, arā, te tauraro pātahi he tino iti rawa te kitea o 2,5,6.

$$525\left(x-2\right)=5\left(x-1\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 525 ki te x-2.

$$525x-1050=5\left(x-1\right)$$

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

$$525x-1050=5x-5$$

Tangohia te 5x mai i ngā taha e rua.

$$525x-1050-5x=-5$$

Pahekotia te 525x me -5x, ka 520x.

$$520x-1050=-5$$

Me tāpiri te 1050 ki ngā taha e rua.

$$520x=-5+1050$$

Tāpirihia te -5 ki te 1050, ka 1045.

$$520x=1045$$

Whakawehea ngā taha e rua ki te 520.

$$x=\frac{1045}{520}$$

Whakahekea te hautanga \frac{1045}{520} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$x=\frac{209}{104}$$