Whakaoti i te 3x/2+1/4+2/1=3x/4-frac{x}{3}

$$\frac { 3 x } { 2 } + \frac { 1 } { 4 } + \frac { 2 } { 1 } = \frac { 3 x } { 4 } - \frac { x } { 3 }$$

Whakaoti mō x

$$x = -\frac{27}{13} = -2\frac{1}{13} \approx -2.076923077$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 12, arā, te tauraro pātahi he tino iti rawa te kitea o 2,4,3.

$$6\times 3x+3+12\times 2=3\times 3x-4x$$

Whakareatia te 6 ki te 3, ka 18.

$$18x+3+12\times 2=3\times 3x-4x$$

Whakareatia te 12 ki te 2, ka 24.

$$18x+3+24=3\times 3x-4x$$

Tāpirihia te 3 ki te 24, ka 27.

$$18x+27=3\times 3x-4x$$

Whakareatia te 3 ki te 3, ka 9.

$$18x+27=9x-4x$$

Pahekotia te 9x me -4x, ka 5x.

$$18x+27=5x$$

Tangohia te 5x mai i ngā taha e rua.

$$18x+27-5x=0$$

Pahekotia te 18x me -5x, ka 13x.

$$13x+27=0$$

Tangohia te 27 mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$13x=-27$$

Whakawehea ngā taha e rua ki te 13.

$$x=\frac{-27}{13}$$

Ka taea te hautanga \frac{-27}{13} te tuhi anō ko -\frac{27}{13} mā te tango i te tohu tōraro.

$$x=-\frac{27}{13}$$