solve for x or y.

2x-3y=2
7x-7y=5


I'm not sure if you want each equation solved for x or y, or whether this is a system.  I think this is a system, so if it isn't, just re-submit your question and I'm sure you'll get an answer.

There are a few ways you can solve this but I will show you how to solve this system by elimination.........


2x - 3y = 2   (What if you multiply this whole line by 7?)
7x - 7y = 5   (What if you multiply this whole line by -2?)


Here are your new equations after multiplying by 7 (top line) and -2 (bottom line)


 14x - 21y = 14  
-14x + 14y = -10  (now add these two equations)
________________________
0x   - 7y = 4
        y = -4/7


Now you can "plug" -4/7 into one of your original equations.  I'll choose the first one:


2x-3y=2  (original equation)

2x - 3(-4/7) = 2  (plug in -4/7)
2x + 12/7 = 2 (multiply -3 times -4/7)
2x        = 2 - 12/7 (subtract 12/7 from both sides)
2x        = 2/1 - 12/7 (showing that 2 is the same as 2/1)
2x        = 14/7 - 12/7 (finding a common denominator for combining fractions)
2x        = 2/7 (subtraction)
 x        = 2/7 divided by 2 (divide by 2 on both sides)
 x        = 2/7 times 1/2 (when we divide fractions, we multiply by the reciprocal)
 x        = 2/14 = 1/7
 

Now if your question was an equation of a line, that's something else...

I hope this is helpful....