Question

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

Answer 1

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

Answer 2

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

Answer 3

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

Answer 4

they are linear so they cross once, one solution

Answer 5

..I see.

Answer 6

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

Answer 7

Good for you.

Answer 8

equation

Answer 9

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

Answer 10

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

Answer 11

okay. thanks for the help!