Whakaoti i te {l}{5{(x+11)}=40+6{(x+2)}}{y=6x+66-40+6x+12}{text{Solvefor}ztext{where}}{z=y}

$$\left. \begin{array} { l } { 5 {(x + 11)} = 40 + 6 {(x + 2)} }\\ { y = 6 x + 66 - 40 + 6 x + 12 }\\ { \text{Solve for } z \text{ where} } \\ { z = y } \end{array} \right.$$

Whakaoti mō x, y, z

$$z=74$$

Ngā Upane Otinga

Whakaarohia te whārite tuatahi. Whakamahia te āhuatanga tohatoha hei whakarea te 5 ki te x+11.

$$5x+55=40+6\left(x+2\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 6 ki te x+2.

$$5x+55=40+6x+12$$

Tāpirihia te 40 ki te 12, ka 52.

$$5x+55=52+6x$$

Tangohia te 6x mai i ngā taha e rua.

$$5x+55-6x=52$$

Pahekotia te 5x me -6x, ka -x.

$$-x+55=52$$

Tangohia te 55 mai i ngā taha e rua.

$$-x=52-55$$

Tangohia te 55 i te 52, ka -3.

$$-x=-3$$

Whakawehea ngā taha e rua ki te -1.

$$x=\frac{-3}{-1}$$

Ka taea te hautanga \frac{-3}{-1} te whakamāmā ki te 3 mā te tango tahi i te tohu tōraro i te taurunga me te tauraro.

$$x=3$$

Whakaarohia te whārite tuarua. Me kōkuhu ngā uara tāupe mōhiotia ki te whārite.

$$y=6\times 3+66-40+6\times 3+12$$

Mahia ngā whakarea.

$$y=18+66-40+18+12$$

Tāpirihia te 18 ki te 66, ka 84.

$$y=84-40+18+12$$

Tangohia te 40 i te 84, ka 44.

$$y=44+18+12$$

Tāpirihia te 44 ki te 18, ka 62.

$$y=62+12$$

Tāpirihia te 62 ki te 12, ka 74.

$$y=74$$

Whakaarohia te whārite tuatoru. Me kōkuhu ngā uara tāupe mōhiotia ki te whārite.

$$z=74$$

Kua oti te pūnaha te whakatau.

$$x=3 y=74 z=74$$