Whakaoti i te {l}{5{(7x-53)}+6=3}{y={(-7x-3)}{(-11+2x)}}{text{Solvefor}ztext{where}}{z=y}

$$\left. \begin{array} { l } { 5 {(7 x - 53)} + 6 = 3 }\\ { y = {(-7 x - 3)} {(-11 + 2 x)} }\\ { \text{Solve for } z \text{ where} } \\ { z = y } \end{array} \right.$$

Whakaoti mō x, y, z

$$z = -\frac{38503}{175} = -220\frac{3}{175} \approx -220.017142857$$

Ngā Upane Otinga

Whakaarohia te whārite tuatahi. Whakamahia te āhuatanga tohatoha hei whakarea te 5 ki te 7x-53.

$$35x-265+6=3$$

Tāpirihia te -265 ki te 6, ka -259.

$$35x-259=3$$

Me tāpiri te 259 ki ngā taha e rua.

$$35x=3+259$$

Tāpirihia te 3 ki te 259, ka 262.

$$35x=262$$

Whakawehea ngā taha e rua ki te 35.

$$x=\frac{262}{35}$$

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

$$y=\left(-7\times \frac{262}{35}-3\right)\left(-11+2\times \frac{262}{35}\right)$$

Whakareatia te -7 ki te \frac{262}{35}, ka -\frac{262}{5}.

$$y=\left(-\frac{262}{5}-3\right)\left(-11+2\times \frac{262}{35}\right)$$

Tangohia te 3 i te -\frac{262}{5}, ka -\frac{277}{5}.

$$y=-\frac{277}{5}\left(-11+2\times \frac{262}{35}\right)$$

Whakareatia te 2 ki te \frac{262}{35}, ka \frac{524}{35}.

$$y=-\frac{277}{5}\left(-11+\frac{524}{35}\right)$$

Tāpirihia te -11 ki te \frac{524}{35}, ka \frac{139}{35}.

$$y=-\frac{277}{5}\times \frac{139}{35}$$

Whakareatia te -\frac{277}{5} ki te \frac{139}{35}, ka -\frac{38503}{175}.

$$y=-\frac{38503}{175}$$

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

$$z=-\frac{38503}{175}$$

Kua oti te pūnaha te whakatau.

$$x=\frac{262}{35} y=-\frac{38503}{175} z=-\frac{38503}{175}$$