Whakaoti i te 45(2n-1)=31(5n+4)

$$45 ( 2 n - 1 ) = 31 ( 5 n + 4 )$$

Whakaoti mō n

$$n = -\frac{13}{5} = -2\frac{3}{5} = -2.6$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te 45 ki te 2n-1.

$$90n-45=31\left(5n+4\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 31 ki te 5n+4.

$$90n-45=155n+124$$

Tangohia te 155n mai i ngā taha e rua.

$$90n-45-155n=124$$

Pahekotia te 90n me -155n, ka -65n.

$$-65n-45=124$$

Me tāpiri te 45 ki ngā taha e rua.

$$-65n=124+45$$

Tāpirihia te 124 ki te 45, ka 169.

$$-65n=169$$

Whakawehea ngā taha e rua ki te -65.

$$n=\frac{169}{-65}$$

Whakahekea te hautanga \frac{169}{-65} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 13.

$$n=-\frac{13}{5}$$