Whakaoti i te 2x-1/7-x+6/5=-1

$$\frac { 2 x - 1 } { 7 } - \frac { x + 6 } { 5 } = - 1$$

Whakaoti mō x

$$x=4$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 35, arā, te tauraro pātahi he tino iti rawa te kitea o 7,5.

$$5\left(2x-1\right)-7\left(x+6\right)=-35$$

Whakamahia te āhuatanga tohatoha hei whakarea te 5 ki te 2x-1.

$$10x-5-7\left(x+6\right)=-35$$

Whakamahia te āhuatanga tohatoha hei whakarea te -7 ki te x+6.

$$10x-5-7x-42=-35$$

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

$$3x-5-42=-35$$

Tangohia te 42 i te -5, ka -47.

$$3x-47=-35$$

Me tāpiri te 47 ki ngā taha e rua.

$$3x=-35+47$$

Tāpirihia te -35 ki te 47, ka 12.

$$3x=12$$

Whakawehea ngā taha e rua ki te 3.

$$x=\frac{12}{3}$$

Whakawehea te 12 ki te 3, kia riro ko 4.

$$x=4$$