Whakaoti i te 2x+x-1/2=3-2x-1/3

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

Whakaoti mō x

$$x = \frac{23}{19} = 1\frac{4}{19} \approx 1.210526316$$

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.

$$12x+3\left(x-1\right)=18-2\left(2x-1\right)$$

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

$$12x+3x-3=18-2\left(2x-1\right)$$

Pahekotia te 12x me 3x, ka 15x.

$$15x-3=18-2\left(2x-1\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -2 ki te 2x-1.

$$15x-3=18-4x+2$$

Tāpirihia te 18 ki te 2, ka 20.

$$15x-3=20-4x$$

Me tāpiri te 4x ki ngā taha e rua.

$$15x-3+4x=20$$

Pahekotia te 15x me 4x, ka 19x.

$$19x-3=20$$

Me tāpiri te 3 ki ngā taha e rua.

$$19x=20+3$$

Tāpirihia te 20 ki te 3, ka 23.

$$19x=23$$

Whakawehea ngā taha e rua ki te 19.

$$x=\frac{23}{19}$$