Whakaoti i te 2x-1/3+3x-2/4=5/6

$$\frac { 2 x - 1 } { 3 } + \frac { 3 x - 2 } { 4 } = \frac { 5 } { 6 }$$

Whakaoti mō x

$$x = \frac{20}{17} = 1\frac{3}{17} \approx 1.176470588$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 12, arā, te tauraro pātahi he tino iti rawa te kitea o 3,4,6.

$$4\left(2x-1\right)+3\left(3x-2\right)=10$$

Whakamahia te āhuatanga tohatoha hei whakarea te 4 ki te 2x-1.

$$8x-4+3\left(3x-2\right)=10$$

Whakamahia te āhuatanga tohatoha hei whakarea te 3 ki te 3x-2.

$$8x-4+9x-6=10$$

Pahekotia te 8x me 9x, ka 17x.

$$17x-4-6=10$$

Tangohia te 6 i te -4, ka -10.

$$17x-10=10$$

Me tāpiri te 10 ki ngā taha e rua.

$$17x=10+10$$

Tāpirihia te 10 ki te 10, ka 20.

$$17x=20$$

Whakawehea ngā taha e rua ki te 17.

$$x=\frac{20}{17}$$