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

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

Whakaoti mō x

$$x = -\frac{7}{4} = -1\frac{3}{4} = -1.75$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$2\left(3x+5\right)-\left(2x-1\right)=4$$

Whakamahia te āhuatanga tohatoha hei whakarea te 2 ki te 3x+5.

$$6x+10-\left(2x-1\right)=4$$

Hei kimi i te tauaro o 2x-1, kimihia te tauaro o ia taurangi.

$$6x+10-2x-\left(-1\right)=4$$

Ko te tauaro o -1 ko 1.

$$6x+10-2x+1=4$$

Pahekotia te 6x me -2x, ka 4x.

$$4x+10+1=4$$

Tāpirihia te 10 ki te 1, ka 11.

$$4x+11=4$$

Tangohia te 11 mai i ngā taha e rua.

$$4x=4-11$$

Tangohia te 11 i te 4, ka -7.

$$4x=-7$$

Whakawehea ngā taha e rua ki te 4.

$$x=\frac{-7}{4}$$

Ka taea te hautanga \frac{-7}{4} te tuhi anō ko -\frac{7}{4} mā te tango i te tohu tōraro.

$$x=-\frac{7}{4}$$