Whakaoti i te {l}{x-1/2=y-2/3=z-3/4}{text{ind}x-4/5=frac{y-1}{2}=z}

$$\left. \begin{array} { l } { \frac { x - 1 } { 2 } = \frac { y - 2 } { 3 } = \frac { z - 3 } { 4 } } \\ { \text { ind } \frac { x - 4 } { 5 } = \frac { y - 1 } { 2 } = z } \end{array} \right.$$

Whakaoti mō x

$$x=\frac{2y-1}{3}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 6, arā, te tauraro pātahi he tino iti rawa te kitea o 2,3.

$$3\left(x-1\right)=2\left(y-2\right)$$

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

$$3x-3=2\left(y-2\right)$$

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

$$3x-3=2y-4$$

Me tāpiri te 3 ki ngā taha e rua.

$$3x=2y-4+3$$

Tāpirihia te -4 ki te 3, ka -1.

$$3x=2y-1$$

Whakawehea ngā taha e rua ki te 3.

$$\frac{3x}{3}=\frac{2y-1}{3}$$

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

$$x=\frac{2y-1}{3}$$