Can someone walk me through solving this problem so I can do the rest of them?

Which graph represents the solution to the given system?
y = –2x + 5 and y = 3x – 2

Question

Can someone walk me through solving this problem so I can do the rest of them? 

 Which graph represents the solution to the given system? 
y = –2x + 5 and y = 3x – 2

anonymous · Answer

Plug in y=3x-2 where the y is in the equation y-2x=-5 
Combine like terms 3x-2-2x=-5 
Add to to 2 to both sides x-2=-5 
Plug in x=-3 into the equation y=3x-2 
y=3•-3-2 
Solve for y, y=-9-2 
Le Answer: y=-11 
(-3,-11)

anonymous · Answer

Those aren't any of my choices!

jdoe0001 · Answer

why not just graph them both, and find out

radar · Answer

Something is awry. We know that y=y so we can write: -2x + 5 = 3x -2 using legal algebra we then get -5x = -7 resulting in x=7/5 then solve for y getting y=11/5

radar · Answer

Verify:
11/5 = -14/5 + 25/5
11/5 = 11/5
verify other equation:
11/5= 3(7/5) - 2
11/5 = 21/5 - 10/5
11/5=11/5
Verified.  Now find the graph that match ((7/5, 11/5)

radar · Answer

Should be two lines intersecting at solution.  One line with a negative slope, one with a positive slope,