Whakaoti i te 4x/10+25x/15+13x/10+25/15=frac{20x}{10}

$$\frac{ 4x }{ 10 } + \frac{ 25x }{ 15 } + \frac{ 13x }{ 10 } + \frac{ 25 }{ 15 } = \frac{ 20x }{ 10 }$$

Whakaoti mō x

$$x = -\frac{50}{41} = -1\frac{9}{41} \approx -1.219512195$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 30, arā, te tauraro pātahi he tino iti rawa te kitea o 10,15.

$$3\times 4x+2\times 25x+3\times 13x+2\times 25=3\times 20x$$

Whakareatia te 3 ki te 4, ka 12.

$$12x+2\times 25x+3\times 13x+2\times 25=3\times 20x$$

Whakareatia te 2 ki te 25, ka 50.

$$12x+50x+3\times 13x+2\times 25=3\times 20x$$

Pahekotia te 12x me 50x, ka 62x.

$$62x+3\times 13x+2\times 25=3\times 20x$$

Whakareatia te 3 ki te 13, ka 39.

$$62x+39x+2\times 25=3\times 20x$$

Pahekotia te 62x me 39x, ka 101x.

$$101x+2\times 25=3\times 20x$$

Whakareatia te 2 ki te 25, ka 50.

$$101x+50=3\times 20x$$

Whakareatia te 3 ki te 20, ka 60.

$$101x+50=60x$$

Tangohia te 60x mai i ngā taha e rua.

$$101x+50-60x=0$$

Pahekotia te 101x me -60x, ka 41x.

$$41x+50=0$$

Tangohia te 50 mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$41x=-50$$

Whakawehea ngā taha e rua ki te 41.

$$x=\frac{-50}{41}$$

Ka taea te hautanga \frac{-50}{41} te tuhi anō ko -\frac{50}{41} mā te tango i te tohu tōraro.

$$x=-\frac{50}{41}$$