Whakaoti i te 9x+4(10-8/3x)=35

$$9x+4(10- \frac{ 8 }{ 3 } x)=35$$

Whakaoti mō x

$$x=3$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te 4 ki te 10-\frac{8}{3}x.

$$9x+40+4\left(-\frac{8}{3}\right)x=35$$

Tuhia te 4\left(-\frac{8}{3}\right) hei hautanga kotahi.

$$9x+40+\frac{4\left(-8\right)}{3}x=35$$

Whakareatia te 4 ki te -8, ka -32.

$$9x+40+\frac{-32}{3}x=35$$

Ka taea te hautanga \frac{-32}{3} te tuhi anō ko -\frac{32}{3} mā te tango i te tohu tōraro.

$$9x+40-\frac{32}{3}x=35$$

Pahekotia te 9x me -\frac{32}{3}x, ka -\frac{5}{3}x.

$$-\frac{5}{3}x+40=35$$

Tangohia te 40 mai i ngā taha e rua.

$$-\frac{5}{3}x=35-40$$

Tangohia te 40 i te 35, ka -5.

$$-\frac{5}{3}x=-5$$

Me whakarea ngā taha e rua ki te -\frac{3}{5}, te tau utu o -\frac{5}{3}.

$$x=-5\left(-\frac{3}{5}\right)$$

Whakareatia -5 ki te -\frac{3}{5}.

$$x=3$$