SOLUTION: Solve the linear equations: A + B + C = 0 4A - 10B = 3 -10B + 5C = 6

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Question 117615This question is from textbook basic technical mathematics with calculus
: Solve the linear equations:
A + B + C = 0
4A - 10B = 3
-10B + 5C = 6
This question is from textbook basic technical mathematics with calculus

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
1.
2.
3.
The quickest and easiest way is to use equations 2 and 3 and find expressions for A and C in terms of B and then substitute those into equation 1.
You then solve for B and go back and solve for A and C.
2.


3.


Now go back to equation 1.
1.

Let's multiply both sides by (4*5) to get rid of the denominators.






From our derivation above for A,






From equation 1,






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