Whakaoti i te 13/6+3/2x=x+7/3

$$\frac { 13 } { 6 } + \frac { 3 } { 2 } x = x + \frac { 7 } { 3 }$$

Whakaoti mō x

$$x=\frac{1}{3}\approx 0.333333333$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te x mai i ngā taha e rua.

$$\frac{13}{6}+\frac{3}{2}x-x=\frac{7}{3}$$

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

$$\frac{13}{6}+\frac{1}{2}x=\frac{7}{3}$$

Tangohia te \frac{13}{6} mai i ngā taha e rua.

$$\frac{1}{2}x=\frac{7}{3}-\frac{13}{6}$$

Ko te maha noa iti rawa atu o 3 me 6 ko 6. Me tahuri \frac{7}{3} me \frac{13}{6} ki te hautau me te tautūnga 6.

$$\frac{1}{2}x=\frac{14}{6}-\frac{13}{6}$$

Tā te mea he rite te tauraro o \frac{14}{6} me \frac{13}{6}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{1}{2}x=\frac{14-13}{6}$$

Tangohia te 13 i te 14, ka 1.

$$\frac{1}{2}x=\frac{1}{6}$$

Me whakarea ngā taha e rua ki te 2, te tau utu o \frac{1}{2}.

$$x=\frac{1}{6}\times 2$$

Whakareatia te \frac{1}{6} ki te 2, ka \frac{2}{6}.

$$x=\frac{2}{6}$$

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

$$x=\frac{1}{3}$$