Whakaoti i te a+1/2-4a+1/3=4

$$\frac { a + 1 } { 2 } - \frac { 4 a + 1 } { 3 } = 4$$

Whakaoti mō a

$$a = -\frac{23}{5} = -4\frac{3}{5} = -4.6$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 6, arā, te tauraro pātahi he tino iti rawa te kitea o 2,3.

$$3\left(a+1\right)-2\left(4a+1\right)=24$$

Whakamahia te āhuatanga tohatoha hei whakarea te 3 ki te a+1.

$$3a+3-2\left(4a+1\right)=24$$

Whakamahia te āhuatanga tohatoha hei whakarea te -2 ki te 4a+1.

$$3a+3-8a-2=24$$

Pahekotia te 3a me -8a, ka -5a.

$$-5a+3-2=24$$

Tangohia te 2 i te 3, ka 1.

$$-5a+1=24$$

Tangohia te 1 mai i ngā taha e rua.

$$-5a=24-1$$

Tangohia te 1 i te 24, ka 23.

$$-5a=23$$

Whakawehea ngā taha e rua ki te -5.

$$a=\frac{23}{-5}$$

Ka taea te hautanga \frac{23}{-5} te tuhi anō ko -\frac{23}{5} mā te tango i te tohu tōraro.

$$a=-\frac{23}{5}$$