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

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

Whakaoti mō x

$$x=\frac{27}{34}\approx 0.794117647$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me tāpiri te \frac{2}{3}x ki ngā taha e rua.

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

Pahekotia te 5x me \frac{2}{3}x, ka \frac{17}{3}x.

$$\frac{17}{3}x+\frac{3}{2}=6$$

Tangohia te \frac{3}{2} mai i ngā taha e rua.

$$\frac{17}{3}x=6-\frac{3}{2}$$

Me tahuri te 6 ki te hautau \frac{12}{2}.

$$\frac{17}{3}x=\frac{12}{2}-\frac{3}{2}$$

Tā te mea he rite te tauraro o \frac{12}{2} me \frac{3}{2}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{17}{3}x=\frac{12-3}{2}$$

Tangohia te 3 i te 12, ka 9.

$$\frac{17}{3}x=\frac{9}{2}$$

Me whakarea ngā taha e rua ki te \frac{3}{17}, te tau utu o \frac{17}{3}.

$$x=\frac{9}{2}\times \frac{3}{17}$$

Me whakarea te \frac{9}{2} ki te \frac{3}{17} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$x=\frac{9\times 3}{2\times 17}$$

Mahia ngā whakarea i roto i te hautanga \frac{9\times 3}{2\times 17}.

$$x=\frac{27}{34}$$