Whakaoti i te -5/3x-5/2=1/2x-7

$$- \frac { 5 } { 3 } x - \frac { 5 } { 2 } = \frac { 1 } { 2 } x - 7$$

Whakaoti mō x

$$x = \frac{27}{13} = 2\frac{1}{13} \approx 2.076923077$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$-\frac{5}{3}x-\frac{5}{2}-\frac{1}{2}x=-7$$

Pahekotia te -\frac{5}{3}x me -\frac{1}{2}x, ka -\frac{13}{6}x.

$$-\frac{13}{6}x-\frac{5}{2}=-7$$

Me tāpiri te \frac{5}{2} ki ngā taha e rua.

$$-\frac{13}{6}x=-7+\frac{5}{2}$$

Me tahuri te -7 ki te hautau -\frac{14}{2}.

$$-\frac{13}{6}x=-\frac{14}{2}+\frac{5}{2}$$

Tā te mea he rite te tauraro o -\frac{14}{2} me \frac{5}{2}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$-\frac{13}{6}x=\frac{-14+5}{2}$$

Tāpirihia te -14 ki te 5, ka -9.

$$-\frac{13}{6}x=-\frac{9}{2}$$

Me whakarea ngā taha e rua ki te -\frac{6}{13}, te tau utu o -\frac{13}{6}.

$$x=-\frac{9}{2}\left(-\frac{6}{13}\right)$$

Me whakarea te -\frac{9}{2} ki te -\frac{6}{13} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$x=\frac{-9\left(-6\right)}{2\times 13}$$

Mahia ngā whakarea i roto i te hautanga \frac{-9\left(-6\right)}{2\times 13}.

$$x=\frac{54}{26}$$

Whakahekea te hautanga \frac{54}{26} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$x=\frac{27}{13}$$