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

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

Whakaoti mō x

$$x = -\frac{15}{7} = -2\frac{1}{7} \approx -2.142857143$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 6, arā, te tauraro pātahi he tino iti rawa te kitea o 2,3.

$$3\left(x-1\right)-2\left(5x-3\right)=18$$

Whakamahia te āhuatanga tohatoha hei whakarea te 3 ki te x-1.

$$3x-3-2\left(5x-3\right)=18$$

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

$$3x-3-10x+6=18$$

Pahekotia te 3x me -10x, ka -7x.

$$-7x-3+6=18$$

Tāpirihia te -3 ki te 6, ka 3.

$$-7x+3=18$$

Tangohia te 3 mai i ngā taha e rua.

$$-7x=18-3$$

Tangohia te 3 i te 18, ka 15.

$$-7x=15$$

Whakawehea ngā taha e rua ki te -7.

$$x=\frac{15}{-7}$$

Ka taea te hautanga \frac{15}{-7} te tuhi anō ko -\frac{15}{7} mā te tango i te tohu tōraro.

$$x=-\frac{15}{7}$$