Whakaoti i te 3(7/3x+1/3)*1/2=2x+1

$$3 ( \frac { 7 } { 3 } x + \frac { 1 } { 3 } ) \cdot \frac { 1 } { 2 } = 2 x + 1$$

Whakaoti mō x

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

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia te 3 ki te \frac{1}{2}, ka \frac{3}{2}.

$$\frac{3}{2}\left(\frac{7}{3}x+\frac{1}{3}\right)=2x+1$$

Whakamahia te āhuatanga tohatoha hei whakarea te \frac{3}{2} ki te \frac{7}{3}x+\frac{1}{3}.

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

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

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

Me whakakore tahi te 3 i te taurunga me te tauraro.

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

Me whakarea te \frac{3}{2} ki te \frac{1}{3} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

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

Me whakakore tahi te 3 i te taurunga me te tauraro.

$$\frac{7}{2}x+\frac{1}{2}=2x+1$$

Tangohia te 2x mai i ngā taha e rua.

$$\frac{7}{2}x+\frac{1}{2}-2x=1$$

Pahekotia te \frac{7}{2}x me -2x, ka \frac{3}{2}x.

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

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

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

Me tahuri te 1 ki te hautau \frac{2}{2}.

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

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

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

Tangohia te 1 i te 2, ka 1.

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

Me whakarea ngā taha e rua ki te \frac{2}{3}, te tau utu o \frac{3}{2}.

$$x=\frac{1}{2}\times \frac{2}{3}$$

Me whakarea te \frac{1}{2} ki te \frac{2}{3} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$x=\frac{1\times 2}{2\times 3}$$

Me whakakore tahi te 2 i te taurunga me te tauraro.

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