Add a-2c+b,-a+b,ca-4c+ b
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Step-by-step explanation:
Given 3a+b+2c=3,a+3b+2c=1, how do find 2a+c?
The most obvious part of this problem is the fact that any solution will require getting rid of b.
One way to do so is to multiply equation 1 by 3 and then subtract equation 2 from that:
9a + 3b + 6c = 9
a + 3b + 2c = 1
Subtracting the bottom from the top gives us
8a + 0b + 4c = 8
or
8a + 4c = 8
Dividing this equation by 4 gives the answer:
2a + c = 2
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a- 2c + b + ( - a + b ) + ac - 4c + b
a-2 c + b - a + b + ac - 4c - 4c + b
2c + 3b + ac - 8c
3b + ac - 6c
a-2 c + b - a + b + ac - 4c - 4c + b
2c + 3b + ac - 8c
3b + ac - 6c
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