Whakaoti i te {l}{3x-7=3(5-x)}{3(2p-1)=5-(3p-2)}

$$\left. \begin{array} { l } { 3 x - 7 = 3 ( 5 - x ) } \\ { 3 ( 2 p - 1 ) = 5 - ( 3 p - 2 ) } \end{array} \right.$$

Whakaoti mō x, p

$$x = \frac{11}{3} = 3\frac{2}{3} \approx 3.666666667$$

$$p = \frac{10}{9} = 1\frac{1}{9} \approx 1.111111111$$

Ngā Upane Otinga

Whakaarohia te whārite tuatahi. Whakamahia te āhuatanga tohatoha hei whakarea te 3 ki te 5-x.

$$3x-7=15-3x$$

Me tāpiri te 3x ki ngā taha e rua.

$$3x-7+3x=15$$

Pahekotia te 3x me 3x, ka 6x.

$$6x-7=15$$

Me tāpiri te 7 ki ngā taha e rua.

$$6x=15+7$$

Tāpirihia te 15 ki te 7, ka 22.

$$6x=22$$

Whakawehea ngā taha e rua ki te 6.

$$x=\frac{22}{6}$$

Whakahekea te hautanga \frac{22}{6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$x=\frac{11}{3}$$

Whakaarohia te whārite tuarua. Whakamahia te āhuatanga tohatoha hei whakarea te 3 ki te 2p-1.

$$6p-3=5-\left(3p-2\right)$$

Hei kimi i te tauaro o 3p-2, kimihia te tauaro o ia taurangi.

$$6p-3=5-3p+2$$

Tāpirihia te 5 ki te 2, ka 7.

$$6p-3=7-3p$$

Me tāpiri te 3p ki ngā taha e rua.

$$6p-3+3p=7$$

Pahekotia te 6p me 3p, ka 9p.

$$9p-3=7$$

Me tāpiri te 3 ki ngā taha e rua.

$$9p=7+3$$

Tāpirihia te 7 ki te 3, ka 10.

$$9p=10$$

Whakawehea ngā taha e rua ki te 9.

$$p=\frac{10}{9}$$

Kua oti te pūnaha te whakatau.

$$x=\frac{11}{3} p=\frac{10}{9}$$