Whakaoti i te x-3/5+7=7x-1/3

$$\frac { x - 3 } { 5 } + 7 = \frac { 7 x - 1 } { 3 }$$

Whakaoti mō x

$$x = \frac{101}{32} = 3\frac{5}{32} = 3.15625$$

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.

$$3\left(x-3\right)+105=5\left(7x-1\right)$$

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

$$3x-9+105=5\left(7x-1\right)$$

Tāpirihia te -9 ki te 105, ka 96.

$$3x+96=5\left(7x-1\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 5 ki te 7x-1.

$$3x+96=35x-5$$

Tangohia te 35x mai i ngā taha e rua.

$$3x+96-35x=-5$$

Pahekotia te 3x me -35x, ka -32x.

$$-32x+96=-5$$

Tangohia te 96 mai i ngā taha e rua.

$$-32x=-5-96$$

Tangohia te 96 i te -5, ka -101.

$$-32x=-101$$

Whakawehea ngā taha e rua ki te -32.

$$x=\frac{-101}{-32}$$

Ka taea te hautanga \frac{-101}{-32} te whakamāmā ki te \frac{101}{32} mā te tango tahi i te tohu tōraro i te taurunga me te tauraro.

$$x=\frac{101}{32}$$