Whakaoti i te {l}{150=9/4a+3/2b+c}{45=25a+5b+c}{225/2=4a+2b+c}

$$\left\{ \begin{array} { l } { 150 = \frac { 9 } { 4 } a + \frac { 3 } { 2 } b + c } \\ { 45 = 25 a + 5 b + c } \\ { \frac { 225 } { 2 } = 4 a + 2 b + c } \end{array} \right.$$

Whakaoti mō a, b, c

$$a=15$$

$$b = -\frac{255}{2} = -127\frac{1}{2} = -127.5$$

$$c = \frac{615}{2} = 307\frac{1}{2} = 307.5$$

Ngā Hipanga Poto E Whakamahi Whakakapinga Ana

Me whakaoti te 150=\frac{9}{4}a+\frac{3}{2}b+c mō c.

$$c=150-\frac{9}{4}a-\frac{3}{2}b$$

Whakakapia te 150-\frac{9}{4}a-\frac{3}{2}b mō te c i te whārite tuarua me te tuatoru.

$$45=25a+5b+150-\frac{9}{4}a-\frac{3}{2}b \frac{225}{2}=4a+2b+150-\frac{9}{4}a-\frac{3}{2}b$$

Me whakaoti ēnei whārite mō b me a takitahi.

$$b=-30-\frac{13}{2}a a=-\frac{150}{7}-\frac{2}{7}b$$

Whakakapia te -30-\frac{13}{2}a mō te b i te whārite a=-\frac{150}{7}-\frac{2}{7}b.

$$a=-\frac{150}{7}-\frac{2}{7}\left(-30-\frac{13}{2}a\right)$$

Me whakaoti te a=-\frac{150}{7}-\frac{2}{7}\left(-30-\frac{13}{2}a\right) mō a.

$$a=15$$

Whakakapia te 15 mō te a i te whārite b=-30-\frac{13}{2}a.

$$b=-30-\frac{13}{2}\times 15$$

Tātaitia te b i te b=-30-\frac{13}{2}\times 15.

$$b=-\frac{255}{2}$$

Whakakapia te -\frac{255}{2} mō te b me te 15 mō a i te whārite c=150-\frac{9}{4}a-\frac{3}{2}b.

$$c=150-\frac{9}{4}\times 15-\frac{3}{2}\left(-\frac{255}{2}\right)$$

Tātaitia te c i te c=150-\frac{9}{4}\times 15-\frac{3}{2}\left(-\frac{255}{2}\right).

$$c=\frac{615}{2}$$

Kua oti te pūnaha te whakatau.

$$a=15 b=-\frac{255}{2} c=\frac{615}{2}$$