Whakaoti i te 10x-3/2-8x+3/9+12x+9/36=-81/4

$$\frac { 10 x - 3 } { 2 } - \frac { 8 x + 3 } { 9 } + \frac { 12 x + 9 } { 36 } = - 8 \frac { 1 } { 4 }$$

Whakaoti mō x

$$x = -\frac{3}{2} = -1\frac{1}{2} = -1.5$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 36, arā, te tauraro pātahi he tino iti rawa te kitea o 2,9,36,4.

$$18\left(10x-3\right)-4\left(8x+3\right)+12x+9=-9\left(8\times 4+1\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 18 ki te 10x-3.

$$180x-54-4\left(8x+3\right)+12x+9=-9\left(8\times 4+1\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -4 ki te 8x+3.

$$180x-54-32x-12+12x+9=-9\left(8\times 4+1\right)$$

Pahekotia te 180x me -32x, ka 148x.

$$148x-54-12+12x+9=-9\left(8\times 4+1\right)$$

Tangohia te 12 i te -54, ka -66.

$$148x-66+12x+9=-9\left(8\times 4+1\right)$$

Pahekotia te 148x me 12x, ka 160x.

$$160x-66+9=-9\left(8\times 4+1\right)$$

Tāpirihia te -66 ki te 9, ka -57.

$$160x-57=-9\left(8\times 4+1\right)$$

Whakareatia te 8 ki te 4, ka 32.

$$160x-57=-9\left(32+1\right)$$

Tāpirihia te 32 ki te 1, ka 33.

$$160x-57=-9\times 33$$

Whakareatia te -9 ki te 33, ka -297.

$$160x-57=-297$$

Me tāpiri te 57 ki ngā taha e rua.

$$160x=-297+57$$

Tāpirihia te -297 ki te 57, ka -240.

$$160x=-240$$

Whakawehea ngā taha e rua ki te 160.

$$x=\frac{-240}{160}$$

Whakahekea te hautanga \frac{-240}{160} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 80.

$$x=-\frac{3}{2}$$