Whakaoti i te {l}{x-2y=6}{x=log-2}

$$\left. \begin{array}{l}{ x - 2 y = 6 }\\{ x = \log - 2 }\end{array} \right.$$

Whakaoti mō x, y (complex solution)

$$x=\log(e)\left(\ln(2)+\pi i\right)\approx 0.301029996+1.364376354i$$

$$y=-\frac{\log(e)\left(-\pi i+\ln(500000)\right)}{2}\approx -2.849485002+0.682188177i$$

Ngā Upane e Whakamahi ana i te Whakakapinga

Hei whakaoti i ētahi whārite takirua mā te whakakapinga, me whakaoti tētahi whārite i te tuatahi mō tētahi o ngā taurangi. Ka whakakapi i te otinga mō taua taurangi ki tērā o ngā whārite.

$$x=\log_{10}\left(-2\right),x-2y=6$$

Tīpakohia tētahi o ngā whārite e rua he māmā ake ki te whakaoti mō te x mā te wehe i te x i te taha mauī o te tohu ōrite.

$$x=\log_{10}\left(-2\right)$$

Whakawehea ngā taha e rua ki te 1.

$$x=\log(e)\left(\ln(2)+\pi i\right)$$

Whakakapia te \left(\ln(2)+i\pi \right)\log(e) mō te x ki tērā atu whārite, x-2y=6.

$$\log(e)\left(\ln(2)+\pi i\right)-2y=6$$

Me tango \left(\ln(2)+i\pi \right)\log(e) mai i ngā taha e rua o te whārite.

$$-2y=\log(e)\left(-\pi i+\ln(500000)\right)$$

Whakawehea ngā taha e rua ki te -2.

$$y=-\frac{\log(e)\left(-\pi i+\ln(500000)\right)}{2}$$

Kua oti te pūnaha te whakatau.

$$x=\log(e)\left(\ln(2)+\pi i\right),y=-\frac{\log(e)\left(-\pi i+\ln(500000)\right)}{2}$$