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

$$\frac{ 3x-1 }{ 2 } - \frac{ 2x+1 }{ 3 } = \frac{ 3-41 }{ 6 }$$

Whakaoti mō x

$$x = -\frac{33}{5} = -6\frac{3}{5} = -6.6$$

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.

$$3\left(3x-1\right)-2\left(2x+1\right)=3-41$$

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

$$9x-3-2\left(2x+1\right)=3-41$$

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

$$9x-3-4x-2=3-41$$

Pahekotia te 9x me -4x, ka 5x.

$$5x-3-2=3-41$$

Tangohia te 2 i te -3, ka -5.

$$5x-5=3-41$$

Tangohia te 41 i te 3, ka -38.

$$5x-5=-38$$

Me tāpiri te 5 ki ngā taha e rua.

$$5x=-38+5$$

Tāpirihia te -38 ki te 5, ka -33.

$$5x=-33$$

Whakawehea ngā taha e rua ki te 5.

$$x=\frac{-33}{5}$$

Ka taea te hautanga \frac{-33}{5} te tuhi anō ko -\frac{33}{5} mā te tango i te tohu tōraro.

$$x=-\frac{33}{5}$$