Whakaoti i te {l}{y/5=13/10}{1.2/m=3/5}{frac{6.3}{x}=frac{18}{5}}

$$\left. \begin{array} { l } { \frac { y } { 5 } = \frac { 13 } { 10 } } \\ { \frac { 1.2 } { m } = \frac { 3 } { 5 } } \\ { \frac { 6.3 } { x } = \frac { 18 } { 5 } } \end{array} \right.$$

Whakaoti mō y, m, x

$$x=1.75$$

$$y=6.5$$

$$m=2$$

Ngā Upane Otinga

Whakaarohia te whārite tuatahi. Me whakarea ngā taha e rua ki te 5.

$$y=\frac{13}{10}\times 5$$

Whakareatia te \frac{13}{10} ki te 5, ka \frac{13}{2}.

$$y=\frac{13}{2}$$

Whakaarohia te whārite tuarua. Tē taea kia ōrite te tāupe m ki 0 nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te 5m, arā, te tauraro pātahi he tino iti rawa te kitea o m,5.

$$5\times 1.2=3m$$

Whakareatia te 5 ki te 1.2, ka 6.

$$6=3m$$

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

$$3m=6$$

Whakawehea ngā taha e rua ki te 3.

$$m=\frac{6}{3}$$

Whakawehea te 6 ki te 3, kia riro ko 2.

$$m=2$$

Whakaarohia te whārite tuatoru. Tē taea kia ōrite te tāupe x ki 0 nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te 5x, arā, te tauraro pātahi he tino iti rawa te kitea o x,5.

$$5\times 6.3=18x$$

Whakareatia te 5 ki te 6.3, ka 31.5.

$$31.5=18x$$

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

$$18x=31.5$$

Whakawehea ngā taha e rua ki te 18.

$$x=\frac{31.5}{18}$$

Whakarohaina te \frac{31.5}{18} mā te whakarea i te taurunga me te tauraro ki te 10.

$$x=\frac{315}{180}$$

Whakahekea te hautanga \frac{315}{180} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 45.

$$x=\frac{7}{4}$$

Kua oti te pūnaha te whakatau.

$$y=\frac{13}{2} m=2 x=\frac{7}{4}$$