SOLUTION: i want to make sure the following steps for solving linear system y=3x & x=3y I think answer is x=9x and y=9y

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Question 134: i want to make sure the following steps for solving linear system
y=3x & x=3y
I think answer is x=9x and y=9y

Answer by ichudov(507)   (Show Source): You can put this solution on YOUR website!
You are on the right track actually. Simplifying this system, you get x = 9x. Or, moving x from left to right, 0 = 9x-x, or 0 = 8x. That means x = 0, and y is therefore also 0.
Here are the graphs of y = 3x and y = x/3. you see how they intersect in point x=y=0, or (0,0):

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