Whakaoti i te {l}{text{Solvethelinearequation.}}{qquad3x/2+1/2+3=8x/5-6/5}

$$\left. \begin{array} { l } { \text { Solve the linear equation. } } \\ { \qquad \frac { 3 x } { 2 } + \frac { 1 } { 2 } + 3 = \frac { 8 x } { 5 } - \frac { 6 } { 5 } } \end{array} \right.$$

Whakaoti mō x

$$x = \frac{67}{16} = 4\frac{3}{16} = 4.1875$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 10, arā, te tauraro pātahi he tino iti rawa te kitea o 2,5.

$$20+5+30=2\times 8x-12$$

Tāpirihia te 20 ki te 5, ka 25.

$$25+30=2\times 8x-12$$

Tāpirihia te 25 ki te 30, ka 55.

$$55=2\times 8x-12$$

Whakareatia te 2 ki te 8, ka 16.

$$55=16x-12$$

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

$$16x-12=55$$

Me tāpiri te 12 ki ngā taha e rua.

$$16x=55+12$$

Tāpirihia te 55 ki te 12, ka 67.

$$16x=67$$

Whakawehea ngā taha e rua ki te 16.

$$x=\frac{67}{16}$$