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2x-3y=6 and 3y-2x= -6
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1 Answer
To show more detail from what Kate is saying, I will "solve" this system using elimination method
2x - 3y = 6
-2x + 3y = -6
0x + 0y = 0
0 = 0
Since neither variable remains, we cannot solve for a variable. Since the statement is true (0 does equal 0), we know that the equations are two forms of the same line
There is an infinite number of solutions.
Comments
Is this a system of equations you are supposed to solve? Because the solution to that would be "any x and y where y = -2 + (2/3)x". These two equations are essentially the same thing, as you can get one from the other by multiplying both sides by (-1).
- Kate K. 1/25/2013