Whakaoti i te 9x-1/13-5x-8/4=x+6

$$\frac { 9 x - 1 } { 13 } - \frac { 5 x - 8 } { 4 } = x + 6$$

Whakaoti mō x

$$x = -\frac{212}{81} = -2\frac{50}{81} \approx -2.617283951$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 52, arā, te tauraro pātahi he tino iti rawa te kitea o 13,4.

$$4\left(9x-1\right)-13\left(5x-8\right)=52x+312$$

Whakamahia te āhuatanga tohatoha hei whakarea te 4 ki te 9x-1.

$$36x-4-13\left(5x-8\right)=52x+312$$

Whakamahia te āhuatanga tohatoha hei whakarea te -13 ki te 5x-8.

$$36x-4-65x+104=52x+312$$

Pahekotia te 36x me -65x, ka -29x.

$$-29x-4+104=52x+312$$

Tāpirihia te -4 ki te 104, ka 100.

$$-29x+100=52x+312$$

Tangohia te 52x mai i ngā taha e rua.

$$-29x+100-52x=312$$

Pahekotia te -29x me -52x, ka -81x.

$$-81x+100=312$$

Tangohia te 100 mai i ngā taha e rua.

$$-81x=312-100$$

Tangohia te 100 i te 312, ka 212.

$$-81x=212$$

Whakawehea ngā taha e rua ki te -81.

$$x=\frac{212}{-81}$$

Ka taea te hautanga \frac{212}{-81} te tuhi anō ko -\frac{212}{81} mā te tango i te tohu tōraro.

$$x=-\frac{212}{81}$$