Whakaoti i te {l}{2x+4(3-2x)=3(2x+2)/6+4}{4z+5=-3z-8}{1/2-1/8q=q-1/4}

$$\left. \begin{array} { l } { 2 x + 4 ( 3 - 2 x ) = \frac { 3 ( 2 x + 2 ) } { 6 } + 4 } \\ { 4 z + 5 = - 3 z - 8 } \\ { \frac { 1 } { 2 } - \frac { 1 } { 8 } q = \frac { q - 1 } { 4 } } \end{array} \right.$$

Whakaoti mō x, z, q

$$x=1$$

$$z = -\frac{13}{7} = -1\frac{6}{7} \approx -1.857142857$$

$$q=2$$

Ngā Upane Otinga

Whakaarohia te whārite tuatahi. Whakareatia ngā taha e rua o te whārite ki te 6.

$$12x+24\left(3-2x\right)=3\left(2x+2\right)+24$$

Whakamahia te āhuatanga tohatoha hei whakarea te 24 ki te 3-2x.

$$12x+72-48x=3\left(2x+2\right)+24$$

Pahekotia te 12x me -48x, ka -36x.

$$-36x+72=3\left(2x+2\right)+24$$

Whakamahia te āhuatanga tohatoha hei whakarea te 3 ki te 2x+2.

$$-36x+72=6x+6+24$$

Tāpirihia te 6 ki te 24, ka 30.

$$-36x+72=6x+30$$

Tangohia te 6x mai i ngā taha e rua.

$$-36x+72-6x=30$$

Pahekotia te -36x me -6x, ka -42x.

$$-42x+72=30$$

Tangohia te 72 mai i ngā taha e rua.

$$-42x=30-72$$

Tangohia te 72 i te 30, ka -42.

$$-42x=-42$$

Whakawehea ngā taha e rua ki te -42.

$$x=\frac{-42}{-42}$$

Whakawehea te -42 ki te -42, kia riro ko 1.

$$x=1$$

Whakaarohia te whārite tuarua. Me tāpiri te 3z ki ngā taha e rua.

$$4z+5+3z=-8$$

Pahekotia te 4z me 3z, ka 7z.

$$7z+5=-8$$

Tangohia te 5 mai i ngā taha e rua.

$$7z=-8-5$$

Tangohia te 5 i te -8, ka -13.

$$7z=-13$$

Whakawehea ngā taha e rua ki te 7.

$$z=-\frac{13}{7}$$

Whakaarohia te whārite tuatoru. Me whakarea ngā taha e rua o te whārite ki te 8, arā, te tauraro pātahi he tino iti rawa te kitea o 2,8,4.

$$4-q=2\left(q-1\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 2 ki te q-1.

$$4-q=2q-2$$

Tangohia te 2q mai i ngā taha e rua.

$$4-q-2q=-2$$

Pahekotia te -q me -2q, ka -3q.

$$4-3q=-2$$

Tangohia te 4 mai i ngā taha e rua.

$$-3q=-2-4$$

Tangohia te 4 i te -2, ka -6.

$$-3q=-6$$

Whakawehea ngā taha e rua ki te -3.

$$q=\frac{-6}{-3}$$

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

$$q=2$$

Kua oti te pūnaha te whakatau.

$$x=1 z=-\frac{13}{7} q=2$$