Whakaoti i te 7/9-x+1/3=-2x+4/3+x/9-1

$$\frac { 7 } { 9 } - x + \frac { 1 } { 3 } = \frac { - 2 x + 4 } { 3 } + \frac { x } { 9 } - 1$$

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 9, arā, te tauraro pātahi he tino iti rawa te kitea o 9,3.

$$7-9x+3=3\left(-2x+4\right)+x-9$$

Tāpirihia te 7 ki te 3, ka 10.

$$10-9x=3\left(-2x+4\right)+x-9$$

Whakamahia te āhuatanga tohatoha hei whakarea te 3 ki te -2x+4.

$$10-9x=-6x+12+x-9$$

Pahekotia te -6x me x, ka -5x.

$$10-9x=-5x+12-9$$

Tangohia te 9 i te 12, ka 3.

$$10-9x=-5x+3$$

Me tāpiri te 5x ki ngā taha e rua.

$$10-9x+5x=3$$

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

$$10-4x=3$$

Tangohia te 10 mai i ngā taha e rua.

$$-4x=3-10$$

Tangohia te 10 i te 3, ka -7.

$$-4x=-7$$

Whakawehea ngā taha e rua ki te -4.

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

Ka taea te hautanga \frac{-7}{-4} te whakamāmā ki te \frac{7}{4} mā te tango tahi i te tohu tōraro i te taurunga me te tauraro.

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