Whakaoti i te 3x+1/2=41/3x-1/6

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

Whakaoti mō x

$$x=\frac{1}{2}=0.5$$

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 2,3,6.

$$18x+3=2\left(4\times 3+1\right)x-1$$

Whakareatia te 4 ki te 3, ka 12.

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

Tāpirihia te 12 ki te 1, ka 13.

$$18x+3=2\times 13x-1$$

Whakareatia te 2 ki te 13, ka 26.

$$18x+3=26x-1$$

Tangohia te 26x mai i ngā taha e rua.

$$18x+3-26x=-1$$

Pahekotia te 18x me -26x, ka -8x.

$$-8x+3=-1$$

Tangohia te 3 mai i ngā taha e rua.

$$-8x=-1-3$$

Tangohia te 3 i te -1, ka -4.

$$-8x=-4$$

Whakawehea ngā taha e rua ki te -8.

$$x=\frac{-4}{-8}$$

Whakahekea te hautanga \frac{-4}{-8} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te -4.

$$x=\frac{1}{2}$$