Whakaoti i te {l}{3(2p-1)=5-(3p-2)}{0.3(6-x)=0.4(x+8)}

$$\left. \begin{array} { l } { 3 ( 2 p - 1 ) = 5 - ( 3 p - 2 ) } \\ { 0.3 ( 6 - x ) = 0.4 ( x + 8 ) } \end{array} \right.$$

Whakaoti mō p, x

$$x=-2$$

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

Ngā Upane Otinga

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

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

Whakaarohia te whārite tuarua. Whakamahia te āhuatanga tohatoha hei whakarea te 0.3 ki te 6-x.

$$1.8-0.3x=0.4\left(x+8\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 0.4 ki te x+8.

$$1.8-0.3x=0.4x+3.2$$

Tangohia te 0.4x mai i ngā taha e rua.

$$1.8-0.3x-0.4x=3.2$$

Pahekotia te -0.3x me -0.4x, ka -0.7x.

$$1.8-0.7x=3.2$$

Tangohia te 1.8 mai i ngā taha e rua.

$$-0.7x=3.2-1.8$$

Tangohia te 1.8 i te 3.2, ka 1.4.

$$-0.7x=1.4$$

Whakawehea ngā taha e rua ki te -0.7.

$$x=\frac{1.4}{-0.7}$$

Whakarohaina te \frac{1.4}{-0.7} mā te whakarea i te taurunga me te tauraro ki te 10.

$$x=\frac{14}{-7}$$

Whakawehea te 14 ki te -7, kia riro ko -2.

$$x=-2$$

Kua oti te pūnaha te whakatau.

$$p=\frac{10}{9} x=-2$$