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

$$\frac { x } { 5 } + \frac { 1 } { 3 } = \frac { 2 x - 5 } { 3 }$$

Whakaoti mō x

$$x = \frac{30}{7} = 4\frac{2}{7} \approx 4.285714286$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 15, arā, te tauraro pātahi he tino iti rawa te kitea o 5,3.

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

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

$$3x+5=10x-25$$

Tangohia te 10x mai i ngā taha e rua.

$$3x+5-10x=-25$$

Pahekotia te 3x me -10x, ka -7x.

$$-7x+5=-25$$

Tangohia te 5 mai i ngā taha e rua.

$$-7x=-25-5$$

Tangohia te 5 i te -25, ka -30.

$$-7x=-30$$

Whakawehea ngā taha e rua ki te -7.

$$x=\frac{-30}{-7}$$

Ka taea te hautanga \frac{-30}{-7} te whakamāmā ki te \frac{30}{7} mā te tango tahi i te tohu tōraro i te taurunga me te tauraro.

$$x=\frac{30}{7}$$