How many solutions does this system of equations have?
2x-2y=8
2x+3y=3

Question

How many solutions does this system of equations have?  
2x-2y=8
2x+3y=3

mertsj · Answer

Well, the slopes are not the same so they are not parallel.

mertsj · Answer

The equations are not the same equation so they are not the same line.
Therefore they intersect and have one solution.

anonymous · Answer

okay. I got that. How do i solve it though???

anonymous · Answer

they are linear so they cross once, one solution

anonymous · Answer

..I see.

anonymous · Answer

substitution method
get a variable by itself on one side of one equation then plug the left side in for that variable in the other

mertsj · Answer

Good for you.

anonymous · Answer

equation

mathmate · Answer

Hint: subtract one equation from the other and you get y=-1 right away.

mertsj · Answer

You are not asked to solve it--only tell how many solutions it has.  You can do that by examining the equations without solving.

anonymous · Answer

okay. thanks for the help!