Whakaoti i te 2x+3/4+3x+4/9=2*+10

$$\frac{ 2x+3 }{ 4 } + \frac{ 3x+4 }{ 9 } =2 \times +10$$

Whakaoti mō x

$$x = \frac{677}{30} = 22\frac{17}{30} \approx 22.566666667$$

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.

$$9\left(2x+3\right)+4\left(3x+4\right)=72\times 10$$

Whakamahia te āhuatanga tohatoha hei whakarea te 9 ki te 2x+3.

$$18x+27+4\left(3x+4\right)=72\times 10$$

Whakamahia te āhuatanga tohatoha hei whakarea te 4 ki te 3x+4.

$$18x+27+12x+16=72\times 10$$

Pahekotia te 18x me 12x, ka 30x.

$$30x+27+16=72\times 10$$

Tāpirihia te 27 ki te 16, ka 43.

$$30x+43=72\times 10$$

Whakareatia te 72 ki te 10, ka 720.

$$30x+43=720$$

Tangohia te 43 mai i ngā taha e rua.

$$30x=720-43$$

Tangohia te 43 i te 720, ka 677.

$$30x=677$$

Whakawehea ngā taha e rua ki te 30.

$$x=\frac{677}{30}$$