Whakaoti i te 1/5x-3=5*left(1/10x+1/10right)

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

Whakaoti mō x

$$x = -\frac{35}{3} = -11\frac{2}{3} \approx -11.666666667$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te 5 ki te \frac{1}{10}x+\frac{1}{10}.

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

Whakareatia te 5 ki te \frac{1}{10}, ka \frac{5}{10}.

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

Whakahekea te hautanga \frac{5}{10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

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

Whakareatia te 5 ki te \frac{1}{10}, ka \frac{5}{10}.

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

Whakahekea te hautanga \frac{5}{10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

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

Tangohia te \frac{1}{2}x mai i ngā taha e rua.

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

Pahekotia te \frac{1}{5}x me -\frac{1}{2}x, ka -\frac{3}{10}x.

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

Me tāpiri te 3 ki ngā taha e rua.

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

Me tahuri te 3 ki te hautau \frac{6}{2}.

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

Tā te mea he rite te tauraro o \frac{1}{2} me \frac{6}{2}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

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

Tāpirihia te 1 ki te 6, ka 7.

$$-\frac{3}{10}x=\frac{7}{2}$$

Me whakarea ngā taha e rua ki te -\frac{10}{3}, te tau utu o -\frac{3}{10}.

$$x=\frac{7}{2}\left(-\frac{10}{3}\right)$$

Me whakarea te \frac{7}{2} ki te -\frac{10}{3} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$x=\frac{7\left(-10\right)}{2\times 3}$$

Mahia ngā whakarea i roto i te hautanga \frac{7\left(-10\right)}{2\times 3}.

$$x=\frac{-70}{6}$$

Whakahekea te hautanga \frac{-70}{6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

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