Whakaoti i te -x=left(2781left(x-263right)+44818left(x-273right)right)left(1/20*85+0024right)-294

$$-x = \left( 2781 \left( x-263 \right) +44818 \left( x-273 \right) \right) \left( \frac{ 1 }{ 20 \cdot 85 } +0024 \right) -294$$

Whakaoti mō x

$$x = \frac{4488839}{16433} = 273\frac{2630}{16433} \approx 273.160043814$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te 2781 ki te x-263.

$$-x=\left(2781x-731403+44818\left(x-273\right)\right)\left(\frac{1}{20\times 85}+0\times 0\times 24\right)-294$$

Whakamahia te āhuatanga tohatoha hei whakarea te 44818 ki te x-273.

$$-x=\left(2781x-731403+44818x-12235314\right)\left(\frac{1}{20\times 85}+0\times 0\times 24\right)-294$$

Pahekotia te 2781x me 44818x, ka 47599x.

$$-x=\left(47599x-731403-12235314\right)\left(\frac{1}{20\times 85}+0\times 0\times 24\right)-294$$

Tangohia te 12235314 i te -731403, ka -12966717.

$$-x=\left(47599x-12966717\right)\left(\frac{1}{20\times 85}+0\times 0\times 24\right)-294$$

Whakareatia te 20 ki te 85, ka 1700.

$$-x=\left(47599x-12966717\right)\left(\frac{1}{1700}+0\times 0\times 24\right)-294$$

Whakareatia te 0 ki te 0, ka 0.

$$-x=\left(47599x-12966717\right)\left(\frac{1}{1700}+0\times 24\right)-294$$

Whakareatia te 0 ki te 24, ka 0.

$$-x=\left(47599x-12966717\right)\left(\frac{1}{1700}+0\right)-294$$

Tāpirihia te \frac{1}{1700} ki te 0, ka \frac{1}{1700}.

$$-x=\left(47599x-12966717\right)\times \frac{1}{1700}-294$$

Whakamahia te āhuatanga tohatoha hei whakarea te 47599x-12966717 ki te \frac{1}{1700}.

$$-x=47599x\times \frac{1}{1700}-12966717\times \frac{1}{1700}-294$$

Whakareatia te 47599 ki te \frac{1}{1700}, ka \frac{47599}{1700}.

$$-x=\frac{47599}{1700}x-12966717\times \frac{1}{1700}-294$$

Whakareatia te -12966717 ki te \frac{1}{1700}, ka \frac{-12966717}{1700}.

$$-x=\frac{47599}{1700}x+\frac{-12966717}{1700}-294$$

Ka taea te hautanga \frac{-12966717}{1700} te tuhi anō ko -\frac{12966717}{1700} mā te tango i te tohu tōraro.

$$-x=\frac{47599}{1700}x-\frac{12966717}{1700}-294$$

Me tahuri te 294 ki te hautau \frac{499800}{1700}.

$$-x=\frac{47599}{1700}x-\frac{12966717}{1700}-\frac{499800}{1700}$$

Tā te mea he rite te tauraro o -\frac{12966717}{1700} me \frac{499800}{1700}, me tango rāua mā te tango i ō raua taurunga.

$$-x=\frac{47599}{1700}x+\frac{-12966717-499800}{1700}$$

Tangohia te 499800 i te -12966717, ka -13466517.

$$-x=\frac{47599}{1700}x-\frac{13466517}{1700}$$

Tangohia te \frac{47599}{1700}x mai i ngā taha e rua.

$$-x-\frac{47599}{1700}x=-\frac{13466517}{1700}$$

Pahekotia te -x me -\frac{47599}{1700}x, ka -\frac{49299}{1700}x.

$$-\frac{49299}{1700}x=-\frac{13466517}{1700}$$

Me whakarea ngā taha e rua ki te -\frac{1700}{49299}, te tau utu o -\frac{49299}{1700}.

$$x=-\frac{13466517}{1700}\left(-\frac{1700}{49299}\right)$$

Me whakarea te -\frac{13466517}{1700} ki te -\frac{1700}{49299} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$x=\frac{-13466517\left(-1700\right)}{1700\times 49299}$$

Mahia ngā whakarea i roto i te hautanga \frac{-13466517\left(-1700\right)}{1700\times 49299}.

$$x=\frac{22893078900}{83808300}$$

Whakahekea te hautanga \frac{22893078900}{83808300} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5100.

$$x=\frac{4488839}{16433}$$