Whakaoti i te {l}{text{Solvethelinearequation}}{qquad7x/6+1/6+2=6x/5-7/5}

$$\left. \begin{array} { l } { \text { Solve the linear equation } } \\ { \qquad \frac { 7 x } { 6 } + \frac { 1 } { 6 } + 2 = \frac { 6 x } { 5 } - \frac { 7 } { 5 } } \end{array} \right.$$

Whakaoti mō x

$$x = \frac{287}{36} = 7\frac{35}{36} \approx 7.972222222$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 30, arā, te tauraro pātahi he tino iti rawa te kitea o 6,5.

$$180+5+60=6\times 6x-42$$

Tāpirihia te 180 ki te 5, ka 185.

$$185+60=6\times 6x-42$$

Tāpirihia te 185 ki te 60, ka 245.

$$245=6\times 6x-42$$

Whakareatia te 6 ki te 6, ka 36.

$$245=36x-42$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$36x-42=245$$

Me tāpiri te 42 ki ngā taha e rua.

$$36x=245+42$$

Tāpirihia te 245 ki te 42, ka 287.

$$36x=287$$

Whakawehea ngā taha e rua ki te 36.

$$x=\frac{287}{36}$$