Whakaoti i te 6x+4/3=5x-5/8

$$\frac{ 6x+4 }{ 3 } = \frac{ 5x-5 }{ 8 }$$

Whakaoti mō x

$$x = -\frac{47}{33} = -1\frac{14}{33} \approx -1.424242424$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 24, arā, te tauraro pātahi he tino iti rawa te kitea o 3,8.

$$8\left(6x+4\right)=3\left(5x-5\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 8 ki te 6x+4.

$$48x+32=3\left(5x-5\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 3 ki te 5x-5.

$$48x+32=15x-15$$

Tangohia te 15x mai i ngā taha e rua.

$$48x+32-15x=-15$$

Pahekotia te 48x me -15x, ka 33x.

$$33x+32=-15$$

Tangohia te 32 mai i ngā taha e rua.

$$33x=-15-32$$

Tangohia te 32 i te -15, ka -47.

$$33x=-47$$

Whakawehea ngā taha e rua ki te 33.

$$x=\frac{-47}{33}$$

Ka taea te hautanga \frac{-47}{33} te tuhi anō ko -\frac{47}{33} mā te tango i te tohu tōraro.

$$x=-\frac{47}{33}$$