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

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

Whakaoti mō x

$$x = \frac{13}{5} = 2\frac{3}{5} = 2.6$$

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 3,6,4.

$$4\times 2x-2\left(2x+1\right)=3\left(3x-5\right)$$

Whakareatia te 4 ki te 2, ka 8.

$$8x-2\left(2x+1\right)=3\left(3x-5\right)$$

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

$$8x-4x-2=3\left(3x-5\right)$$

Pahekotia te 8x me -4x, ka 4x.

$$4x-2=3\left(3x-5\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 3 ki te 3x-5.

$$4x-2=9x-15$$

Tangohia te 9x mai i ngā taha e rua.

$$4x-2-9x=-15$$

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

$$-5x-2=-15$$

Me tāpiri te 2 ki ngā taha e rua.

$$-5x=-15+2$$

Tāpirihia te -15 ki te 2, ka -13.

$$-5x=-13$$

Whakawehea ngā taha e rua ki te -5.

$$x=\frac{-13}{-5}$$

Ka taea te hautanga \frac{-13}{-5} te whakamāmā ki te \frac{13}{5} mā te tango tahi i te tohu tōraro i te taurunga me te tauraro.

$$x=\frac{13}{5}$$