Whakaoti i te -6/10x+2/5=x-1/3+1

$$- \frac{ 6 }{ 10 } x+ \frac{ 2 }{ 5 } = \frac{ x-1 }{ 3 } +1$$

Whakaoti mō x

$$x=-\frac{2}{7}\approx -0.285714286$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 30, arā, te tauraro pātahi he tino iti rawa te kitea o 10,5,3.

$$30\left(-\frac{6}{10}\right)x+12=10\left(x-1\right)+30$$

Whakahekea te hautanga \frac{6}{10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$30\left(-\frac{3}{5}\right)x+12=10\left(x-1\right)+30$$

Tuhia te 30\left(-\frac{3}{5}\right) hei hautanga kotahi.

$$\frac{30\left(-3\right)}{5}x+12=10\left(x-1\right)+30$$

Whakareatia te 30 ki te -3, ka -90.

$$\frac{-90}{5}x+12=10\left(x-1\right)+30$$

Whakawehea te -90 ki te 5, kia riro ko -18.

$$-18x+12=10\left(x-1\right)+30$$

Whakamahia te āhuatanga tohatoha hei whakarea te 10 ki te x-1.

$$-18x+12=10x-10+30$$

Tāpirihia te -10 ki te 30, ka 20.

$$-18x+12=10x+20$$

Tangohia te 10x mai i ngā taha e rua.

$$-18x+12-10x=20$$

Pahekotia te -18x me -10x, ka -28x.

$$-28x+12=20$$

Tangohia te 12 mai i ngā taha e rua.

$$-28x=20-12$$

Tangohia te 12 i te 20, ka 8.

$$-28x=8$$

Whakawehea ngā taha e rua ki te -28.

$$x=\frac{8}{-28}$$

Whakahekea te hautanga \frac{8}{-28} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$x=-\frac{2}{7}$$