Whakaoti i te {l}{x-2/2-x-3/4=x-4/5}{y=3x*102x}{z=y}{a=z}{b=a}{c=b}{text{Solvefor}dtext{where}}{d=c}

$$\left. \begin{array} { l } { \frac{x - 2}{2} - \frac{x - 3}{4} = \frac{x - 4}{5} }\\ { y = 3 x \cdot 102 x }\\ { z = y }\\ { a = z }\\ { b = a }\\ { c = b }\\ { \text{Solve for } d \text{ where} } \\ { d = c } \end{array} \right.$$

Whakaoti mō x, y, z, a, b, c, d

$$d=37026$$

Ngā Upane Otinga

Whakaarohia te whārite tuatahi. Me whakarea ngā taha e rua o te whārite ki te 20, arā, te tauraro pātahi he tino iti rawa te kitea o 2,4,5.

$$10\left(x-2\right)-5\left(x-3\right)=4\left(x-4\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 10 ki te x-2.

$$10x-20-5\left(x-3\right)=4\left(x-4\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -5 ki te x-3.

$$10x-20-5x+15=4\left(x-4\right)$$

Pahekotia te 10x me -5x, ka 5x.

$$5x-20+15=4\left(x-4\right)$$

Tāpirihia te -20 ki te 15, ka -5.

$$5x-5=4\left(x-4\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 4 ki te x-4.

$$5x-5=4x-16$$

Tangohia te 4x mai i ngā taha e rua.

$$5x-5-4x=-16$$

Pahekotia te 5x me -4x, ka x.

$$x-5=-16$$

Me tāpiri te 5 ki ngā taha e rua.

$$x=-16+5$$

Tāpirihia te -16 ki te 5, ka -11.

$$x=-11$$

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

$$y=3\left(-11\right)\times 102\left(-11\right)$$

Whakareatia te 3 ki te -11, ka -33.

$$y=-33\times 102\left(-11\right)$$

Whakareatia te -33 ki te 102, ka -3366.

$$y=-3366\left(-11\right)$$

Whakareatia te -3366 ki te -11, ka 37026.

$$y=37026$$

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

$$z=37026$$

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

$$a=37026$$

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

$$b=37026$$

Whakaarohia te whārite (6). Me kōkuhu ngā uara tāupe mōhiotia ki te whārite.

$$c=37026$$

Whakaarohia te whārite (7). Me kōkuhu ngā uara tāupe mōhiotia ki te whārite.

$$d=37026$$

Kua oti te pūnaha te whakatau.

$$x=-11 y=37026 z=37026 a=37026 b=37026 c=37026 d=37026$$