SOLUTION: The system x+2y=4 7x+14y=28 has infinitely many solutions. State the general solution.

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Question 1048351: The system x+2y=4
7x+14y=28 has infinitely many solutions. State the general solution.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The two equations are equivalent and can be represented with the same line, graphically.

The simplified form of the equation is the best one to use.
2y%2Bx=4
2y=-x%2B4
y=-x%2F2%2B2-------the equation has an infinite number of solutions, all being points on the line. This could also be given as a general ordered (x,y) pair, (x, -x/2+2 ).