SOLUTION: Find all solutions of the given system of equations using elimination. (If there is no solution, enter NO SOLUTION. If the system is dependent, express your answer in terms of t, w

Algebra ->  Equations -> SOLUTION: Find all solutions of the given system of equations using elimination. (If there is no solution, enter NO SOLUTION. If the system is dependent, express your answer in terms of t, w      Log On


   

Question 1202825: Find all solutions of the given system of equations using elimination. (If there is no solution, enter NO SOLUTION. If the system is dependent, express your answer in terms of t, where y = y(t).)
4x − 3y = 3
8x − 6y = 6
(x, y)= ( , )
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Your system to solve:

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4x − 3y = 3
8x − 6y = 6
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Multiplying the second equation by 1%2F2 you have
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4x − 3y = 3
4x − 3y = 3
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which is one single equation. You handle this meaning for completing your answer?

The original system is in fact, just one single equation representable as one single line.
-3y=-4x%2B3
y=%284%2F3%29x-1
or you could say,
y%28t%29=%284%2F3%29t-1, if you want to replace x with t.


Meaning, the solution IS NOT one single but. The solution os the set of points which fit on the line y=%284%2F3%29t-1. You could, if you want to, say the solution is (t, (4/3)t-1).