Posted by Jessie on Thursday, December 18, 2008 at 9:35pm.
Solving Linear Equations  Elimination
Write whether each of these systems of equations has a common solution or not. Explain
y = x + 2 Y = 2x + 1
If you show me one and explain it, then I can probably do the rest...Thanks

Algebra  Reiny, Thursday, December 18, 2008 at 11:48pm
if both of your equations are expressed as y = ..., then they are easy to solve.
You simply equate the right sides, that is,
x+2=2x+1
3x = 1
x = 1/3
sub that back into either one of the two original equations to get the y
I does not matter which one, you will get the same answer,
so in the first
y = (1/3) + 2 = 5/3
what you are doing is finding the intersection point,(the common solution), of your two lines.
It is (1/3,5/3)
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