Whakaoti i te (500*16+450*4)-a(500*16+450*4)=1960

$$( 500 \times 16 + 450 \times 4 ) - a ( 500 \times 16 + 450 \times 4 ) = 1960$$

Whakaoti mō a

$$a=\frac{4}{5}=0.8$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia te 500 ki te 16, ka 8000. Whakareatia te 450 ki te 4, ka 1800.

$$8000+1800-a\left(500\times 16+450\times 4\right)=1960$$

Tāpirihia te 8000 ki te 1800, ka 9800.

$$9800-a\left(500\times 16+450\times 4\right)=1960$$

Whakareatia te 500 ki te 16, ka 8000. Whakareatia te 450 ki te 4, ka 1800.

$$9800-a\left(8000+1800\right)=1960$$

Tāpirihia te 8000 ki te 1800, ka 9800.

$$9800-a\times 9800=1960$$

Whakareatia te -1 ki te 9800, ka -9800.

$$9800-9800a=1960$$

Tangohia te 9800 mai i ngā taha e rua.

$$-9800a=1960-9800$$

Tangohia te 9800 i te 1960, ka -7840.

$$-9800a=-7840$$

Whakawehea ngā taha e rua ki te -9800.

$$a=\frac{-7840}{-9800}$$

Whakahekea te hautanga \frac{-7840}{-9800} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te -1960.

$$a=\frac{4}{5}$$