Simultaneous Vector Equations:
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Express c and d in terms of a and b, where
a = 5c - 2d, and b = -c + 3d.
We can eliminate c by combining the first equation with 5 times the second:
a = 5c - 2d
5b = -5c + 15d
Adding the two equations, we get
a + 5b = 13d, or
Now we substitute this result into the first equation:
Now solve for c to get
, or
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