Whakaoti i te {l}{x-15/100x=42}{y=5x}{z=y}{a=z}{text{Solvefor}btext{where}}{b=a}

$$\left. \begin{array} { l } { x - \frac{15}{100} x = 42 }\\ { y = 5 x }\\ { z = y }\\ { a = z }\\ { \text{Solve for } b \text{ where} } \\ { b = a } \end{array} \right.$$

Whakaoti mō x, y, z, a, b

$$b = \frac{4200}{17} = 247\frac{1}{17} \approx 247.058823529$$

Ngā Upane Otinga

Whakaarohia te whārite tuatahi. Whakahekea te hautanga \frac{15}{100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$x-\frac{3}{20}x=42$$

Pahekotia te x me -\frac{3}{20}x, ka \frac{17}{20}x.

$$\frac{17}{20}x=42$$

Me whakarea ngā taha e rua ki te \frac{20}{17}, te tau utu o \frac{17}{20}.

$$x=42\times \frac{20}{17}$$

Whakareatia te 42 ki te \frac{20}{17}, ka \frac{840}{17}.

$$x=\frac{840}{17}$$

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

$$y=5\times \frac{840}{17}$$

Whakareatia te 5 ki te \frac{840}{17}, ka \frac{4200}{17}.

$$y=\frac{4200}{17}$$

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

$$z=\frac{4200}{17}$$

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

$$a=\frac{4200}{17}$$

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

$$b=\frac{4200}{17}$$

Kua oti te pūnaha te whakatau.

$$x=\frac{840}{17} y=\frac{4200}{17} z=\frac{4200}{17} a=\frac{4200}{17} b=\frac{4200}{17}$$