SOLUTION: how to solve this:y=3x x=3y

Question 268316: how to solve this:y=3x
x=3y

Answer by alexisss1303(1) (Show Source): You can put this solution on YOUR website!
okay, so basically this is a system of linear equations.
{y=3x
{x=3y
and you have to come up with a solution (a coordinate) that works for both equations.
so you can substitute the first equation into the second equation.
so, x=3(3x)....... Use Distributive Property
... x=9x ....... Subtract x from both sides
... 0=8x ....... Divide 8 by both sides to isolate x
... 0=x

okay, now plug in x=0 into the first equation
... y=3(0) ....... Use Distributive Property
... y=0
Now that you have solved for x and y, you have finally found your coordinate (x,y): x=0 and y=0, so your coordinate and solution to this problem is (0,0)
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