Consistent or inconsistent?
y = 2x + 5
-2x + y = -2
Consistent or inconsistent?
y = 2x + 5
-2x + y = -2
Inconsistent - you'll see this by solving for values of x and y. Start by substituting the first equation for y into the second:
-2x + 2x + 5 = -2
-2x + 2x = -7
The -2x and +2x cancel out, leaving 0 = -7, which isn't true, so you know the system is inconsistent.
Hope that helps!
Katherine P.