Whakaoti i te 5*x+1/5+2x-3/6=1quad10

$$5 \cdot \frac { x + 1 } { 5 } + \frac { 2 x - 3 } { 6 } = 1 \quad 10$$

Whakaoti mō x

$$x = \frac{57}{8} = 7\frac{1}{8} = 7.125$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 30, arā, te tauraro pātahi he tino iti rawa te kitea o 5,6.

$$30\left(x+1\right)+5\left(2x-3\right)=30\times 10$$

Whakamahia te āhuatanga tohatoha hei whakarea te 30 ki te x+1.

$$30x+30+5\left(2x-3\right)=30\times 10$$

Whakamahia te āhuatanga tohatoha hei whakarea te 5 ki te 2x-3.

$$30x+30+10x-15=30\times 10$$

Pahekotia te 30x me 10x, ka 40x.

$$40x+30-15=30\times 10$$

Tangohia te 15 i te 30, ka 15.

$$40x+15=30\times 10$$

Whakareatia te 30 ki te 10, ka 300.

$$40x+15=300$$

Tangohia te 15 mai i ngā taha e rua.

$$40x=300-15$$

Tangohia te 15 i te 300, ka 285.

$$40x=285$$

Whakawehea ngā taha e rua ki te 40.

$$x=\frac{285}{40}$$

Whakahekea te hautanga \frac{285}{40} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$x=\frac{57}{8}$$