Whakaoti i te 1/2x+8=9x-15

$$\frac{ 1 }{ 2 } x+8=9x-15$$

Whakaoti mō x

$$x = \frac{46}{17} = 2\frac{12}{17} \approx 2.705882353$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te 9x mai i ngā taha e rua.

$$\frac{1}{2}x+8-9x=-15$$

Pahekotia te \frac{1}{2}x me -9x, ka -\frac{17}{2}x.

$$-\frac{17}{2}x+8=-15$$

Tangohia te 8 mai i ngā taha e rua.

$$-\frac{17}{2}x=-15-8$$

Tangohia te 8 i te -15, ka -23.

$$-\frac{17}{2}x=-23$$

Me whakarea ngā taha e rua ki te -\frac{2}{17}, te tau utu o -\frac{17}{2}.

$$x=-23\left(-\frac{2}{17}\right)$$

Tuhia te -23\left(-\frac{2}{17}\right) hei hautanga kotahi.

$$x=\frac{-23\left(-2\right)}{17}$$

Whakareatia te -23 ki te -2, ka 46.

$$x=\frac{46}{17}$$