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3 years ago

15

Norman weighed his loaded trucks of apples at a weigh station. It weighed 15 tons 100 lbs. his empty truck weighed 3 tons 200 lb

s. what was the weight of his loaf of apples ?

2 answers:

mojhsa [17]3 years ago

7 0

The answer would be 11 tons 1,900 lbs :D

Goryan [66]3 years ago

3 0

The second to last one, 11 tons 1900 lbs

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The system can be written in matrix form like:

$\left[\begin{array}{ccc}5&-3&1\\0&2&-3\\7&10&0\end{array}\right]\times \left[\begin{array}{c}x&y&z\end{array}\right] = \left[\begin{array}{c}6&11&-13\end{array}\right]$

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$D_y = \left|\begin{array}{ccc}5&6&1\\0&11&-3\\7&-13&0\end{array}\right|=-398$ Notice how the y-column has been substituted with the answer-column one.

$D_z = \left|\begin{array}{ccc}5&-3&6\\0&2&11\\7&10&-13\end{array}\right|=-995$

Then, substituting the values:

$x= \frac{D_x}{D}=\frac{199}{199}\\ x=1$

$x= \frac{D_y}{D}=\frac{-398}{199}\\ y=-2$

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