Whakaoti i te 3/5(2-x)=1/4(x-4)

$$\frac { 3 } { 5 } ( 2 - x ) = \frac { 1 } { 4 } ( x - 4 )$$

Whakaoti mō x

$$x = \frac{44}{17} = 2\frac{10}{17} \approx 2.588235294$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te \frac{3}{5} ki te 2-x.

$$\frac{3}{5}\times 2+\frac{3}{5}\left(-1\right)x=\frac{1}{4}\left(x-4\right)$$

Tuhia te \frac{3}{5}\times 2 hei hautanga kotahi.

$$\frac{3\times 2}{5}+\frac{3}{5}\left(-1\right)x=\frac{1}{4}\left(x-4\right)$$

Whakareatia te 3 ki te 2, ka 6.

$$\frac{6}{5}+\frac{3}{5}\left(-1\right)x=\frac{1}{4}\left(x-4\right)$$

Whakareatia te \frac{3}{5} ki te -1, ka -\frac{3}{5}.

$$\frac{6}{5}-\frac{3}{5}x=\frac{1}{4}\left(x-4\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te \frac{1}{4} ki te x-4.

$$\frac{6}{5}-\frac{3}{5}x=\frac{1}{4}x+\frac{1}{4}\left(-4\right)$$

Whakareatia te \frac{1}{4} ki te -4, ka \frac{-4}{4}.

$$\frac{6}{5}-\frac{3}{5}x=\frac{1}{4}x+\frac{-4}{4}$$

Whakawehea te -4 ki te 4, kia riro ko -1.

$$\frac{6}{5}-\frac{3}{5}x=\frac{1}{4}x-1$$

Tangohia te \frac{1}{4}x mai i ngā taha e rua.

$$\frac{6}{5}-\frac{3}{5}x-\frac{1}{4}x=-1$$

Pahekotia te -\frac{3}{5}x me -\frac{1}{4}x, ka -\frac{17}{20}x.

$$\frac{6}{5}-\frac{17}{20}x=-1$$

Tangohia te \frac{6}{5} mai i ngā taha e rua.

$$-\frac{17}{20}x=-1-\frac{6}{5}$$

Me tahuri te -1 ki te hautau -\frac{5}{5}.

$$-\frac{17}{20}x=-\frac{5}{5}-\frac{6}{5}$$

Tā te mea he rite te tauraro o -\frac{5}{5} me \frac{6}{5}, me tango rāua mā te tango i ō raua taurunga.

$$-\frac{17}{20}x=\frac{-5-6}{5}$$

Tangohia te 6 i te -5, ka -11.

$$-\frac{17}{20}x=-\frac{11}{5}$$

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

$$x=-\frac{11}{5}\left(-\frac{20}{17}\right)$$

Me whakarea te -\frac{11}{5} ki te -\frac{20}{17} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$x=\frac{-11\left(-20\right)}{5\times 17}$$

Mahia ngā whakarea i roto i te hautanga \frac{-11\left(-20\right)}{5\times 17}.

$$x=\frac{220}{85}$$

Whakahekea te hautanga \frac{220}{85} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$x=\frac{44}{17}$$