Whakaoti i te {l}{3=frac{78x+216{(309-x)}}{1000}}{y=0}{z=y}{a=z}{text{Solvefor}btext{where}}{b=a}

$$\left. \begin{array} { l } { 3 = \frac{78 x + 216 {(309 - x)}}{1000} }\\ { y = 0 }\\ { z = y }\\ { a = z }\\ { \text{Solve for } b \text{ where} } \\ { b = a } \end{array} \right.$$

Whakaoti mō x, y, z, a, b

$$b=0$$

Ngā Upane Otinga

Whakaarohia te whārite tuatahi. Me whakarea ngā taha e rua ki te 1000.

$$3\times 1000=78x+216\left(309-x\right)$$

Whakareatia te 3 ki te 1000, ka 3000.

$$3000=78x+216\left(309-x\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 216 ki te 309-x.

$$3000=78x+66744-216x$$

Pahekotia te 78x me -216x, ka -138x.

$$3000=-138x+66744$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$-138x+66744=3000$$

Tangohia te 66744 mai i ngā taha e rua.

$$-138x=3000-66744$$

Tangohia te 66744 i te 3000, ka -63744.

$$-138x=-63744$$

Whakawehea ngā taha e rua ki te -138.

$$x=\frac{-63744}{-138}$$

Whakahekea te hautanga \frac{-63744}{-138} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te -6.

$$x=\frac{10624}{23}$$

Kua oti te pūnaha te whakatau.

$$x=\frac{10624}{23} y=0 z=0 a=0 b=0$$