Whakaoti i te 10(7-x)+x+27=10x+(11-x)

$$10(7-x)+x+27=10x+(11-x)$$

Whakaoti mō x

$$x = \frac{43}{9} = 4\frac{7}{9} \approx 4.777777778$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te 10 ki te 7-x.

$$70-10x+x+27=10x+11-x$$

Pahekotia te -10x me x, ka -9x.

$$70-9x+27=10x+11-x$$

Tāpirihia te 70 ki te 27, ka 97.

$$97-9x=10x+11-x$$

Pahekotia te 10x me -x, ka 9x.

$$97-9x=9x+11$$

Tangohia te 9x mai i ngā taha e rua.

$$97-9x-9x=11$$

Pahekotia te -9x me -9x, ka -18x.

$$97-18x=11$$

Tangohia te 97 mai i ngā taha e rua.

$$-18x=11-97$$

Tangohia te 97 i te 11, ka -86.

$$-18x=-86$$

Whakawehea ngā taha e rua ki te -18.

$$x=\frac{-86}{-18}$$

Whakahekea te hautanga \frac{-86}{-18} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te -2.

$$x=\frac{43}{9}$$