Whakaoti i te 2x-5/6=4x-7/9

$$\frac { 2 x - 5 } { 6 } = \frac { 4 x - 7 } { 9 }$$

Whakaoti mō x

$$x=-\frac{1}{2}=-0.5$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 18, arā, te tauraro pātahi he tino iti rawa te kitea o 6,9.

$$3\left(2x-5\right)=2\left(4x-7\right)$$

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

$$6x-15=2\left(4x-7\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 2 ki te 4x-7.

$$6x-15=8x-14$$

Tangohia te 8x mai i ngā taha e rua.

$$6x-15-8x=-14$$

Pahekotia te 6x me -8x, ka -2x.

$$-2x-15=-14$$

Me tāpiri te 15 ki ngā taha e rua.

$$-2x=-14+15$$

Tāpirihia te -14 ki te 15, ka 1.

$$-2x=1$$

Whakawehea ngā taha e rua ki te -2.

$$x=\frac{1}{-2}$$

Ka taea te hautanga \frac{1}{-2} te tuhi anō ko -\frac{1}{2} mā te tango i te tohu tōraro.

$$x=-\frac{1}{2}$$