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

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

Whakaoti mō x

$$x = -\frac{15}{4} = -3\frac{3}{4} = -3.75$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Pahekotia te 3x me -5x, ka -2x.

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

Me tāpiri te \frac{1}{2} ki ngā taha e rua.

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

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

$$-2x=\frac{14}{2}+\frac{1}{2}$$

Tā te mea he rite te tauraro o \frac{14}{2} me \frac{1}{2}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$-2x=\frac{14+1}{2}$$

Tāpirihia te 14 ki te 1, ka 15.

$$-2x=\frac{15}{2}$$

Whakawehea ngā taha e rua ki te -2.

$$x=\frac{\frac{15}{2}}{-2}$$

Tuhia te \frac{\frac{15}{2}}{-2} hei hautanga kotahi.

$$x=\frac{15}{2\left(-2\right)}$$

Whakareatia te 2 ki te -2, ka -4.

$$x=\frac{15}{-4}$$

Ka taea te hautanga \frac{15}{-4} te tuhi anō ko -\frac{15}{4} mā te tango i te tohu tōraro.

$$x=-\frac{15}{4}$$