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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