Whakaoti i te 3x-11/4-3-4x/4=x+6/9

$$\frac { 3 x - 11 } { 4 } - \frac { 3 - 4 x } { 4 } = \frac { x + 6 } { 9 }$$

Whakaoti mō x

$$x = \frac{150}{59} = 2\frac{32}{59} \approx 2.542372881$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 36, arā, te tauraro pātahi he tino iti rawa te kitea o 4,9.

$$9\left(3x-11\right)-9\left(3-4x\right)=4\left(x+6\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 9 ki te 3x-11.

$$27x-99-9\left(3-4x\right)=4\left(x+6\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -9 ki te 3-4x.

$$27x-99-27+36x=4\left(x+6\right)$$

Tangohia te 27 i te -99, ka -126.

$$27x-126+36x=4\left(x+6\right)$$

Pahekotia te 27x me 36x, ka 63x.

$$63x-126=4\left(x+6\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 4 ki te x+6.

$$63x-126=4x+24$$

Tangohia te 4x mai i ngā taha e rua.

$$63x-126-4x=24$$

Pahekotia te 63x me -4x, ka 59x.

$$59x-126=24$$

Me tāpiri te 126 ki ngā taha e rua.

$$59x=24+126$$

Tāpirihia te 24 ki te 126, ka 150.

$$59x=150$$

Whakawehea ngā taha e rua ki te 59.

$$x=\frac{150}{59}$$