Whakaoti i te 2-3(r-7)-7r=4(r-2)+8

$$2 - 3 ( r - 7 ) - 7 r = 4 ( r - 2 ) + 8$$

Whakaoti mō r

$$r = \frac{23}{14} = 1\frac{9}{14} \approx 1.642857143$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te -3 ki te r-7.

$$2-3r+21-7r=4\left(r-2\right)+8$$

Tāpirihia te 2 ki te 21, ka 23.

$$23-3r-7r=4\left(r-2\right)+8$$

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

$$23-10r=4\left(r-2\right)+8$$

Whakamahia te āhuatanga tohatoha hei whakarea te 4 ki te r-2.

$$23-10r=4r-8+8$$

Tāpirihia te -8 ki te 8, ka 0.

$$23-10r=4r$$

Tangohia te 4r mai i ngā taha e rua.

$$23-10r-4r=0$$

Pahekotia te -10r me -4r, ka -14r.

$$23-14r=0$$

Tangohia te 23 mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$-14r=-23$$

Whakawehea ngā taha e rua ki te -14.

$$r=\frac{-23}{-14}$$

Ka taea te hautanga \frac{-23}{-14} te whakamāmā ki te \frac{23}{14} mā te tango tahi i te tohu tōraro i te taurunga me te tauraro.

$$r=\frac{23}{14}$$