Whakaoti i te 1/2x+1/5=-4(3/4x+5)

$$\frac { 1 } { 2 } x + \frac { 1 } { 5 } = - 4 ( \frac { 3 } { 4 } x + 5 )$$

Whakaoti mō x

$$x = -\frac{202}{35} = -5\frac{27}{35} \approx -5.771428571$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te -4 ki te \frac{3}{4}x+5.

$$\frac{1}{2}x+\frac{1}{5}=-4\times \frac{3}{4}x-20$$

Whakareatia -4 ki te \frac{3}{4}.

$$\frac{1}{2}x+\frac{1}{5}=-3x-20$$

Me tāpiri te 3x ki ngā taha e rua.

$$\frac{1}{2}x+\frac{1}{5}+3x=-20$$

Pahekotia te \frac{1}{2}x me 3x, ka \frac{7}{2}x.

$$\frac{7}{2}x+\frac{1}{5}=-20$$

Tangohia te \frac{1}{5} mai i ngā taha e rua.

$$\frac{7}{2}x=-20-\frac{1}{5}$$

Me tahuri te -20 ki te hautau -\frac{100}{5}.

$$\frac{7}{2}x=-\frac{100}{5}-\frac{1}{5}$$

Tā te mea he rite te tauraro o -\frac{100}{5} me \frac{1}{5}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{7}{2}x=\frac{-100-1}{5}$$

Tangohia te 1 i te -100, ka -101.

$$\frac{7}{2}x=-\frac{101}{5}$$

Me whakarea ngā taha e rua ki te \frac{2}{7}, te tau utu o \frac{7}{2}.

$$x=-\frac{101}{5}\times \frac{2}{7}$$

Me whakarea te -\frac{101}{5} ki te \frac{2}{7} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$x=\frac{-101\times 2}{5\times 7}$$

Mahia ngā whakarea i roto i te hautanga \frac{-101\times 2}{5\times 7}.

$$x=\frac{-202}{35}$$

Ka taea te hautanga \frac{-202}{35} te tuhi anō ko -\frac{202}{35} mā te tango i te tohu tōraro.

$$x=-\frac{202}{35}$$