How many solutions do these equations have?

x = y + 1
y = x + 1

Question

How many solutions do these equations have?

x = y + 1
y = x + 1

mathteacher1729 · Answer

How far have you gotten with this problem so far?

mathteacher1729 · Answer

Hashir -- y = 2x - 3 and y = 4x - 6 are both linear equations.  Does that mean they both have only one solution?

mathteacher1729 · Answer

What about y = 2x - 3 and y = 2x - 4.  They are both linear equations.  Do they also have only one solution?   

Also, what about y = 2x - 3 and 4y = 8x - 12 ? They  both linear equations... do they both only have one solution? :)

anonymous · Answer

i m talking in general

anonymous · Answer

and u r posting equation of parallel lines which have no solution

anonymous · Answer

mind it

mathteacher1729 · Answer

You wrote the number "1" without any explanation beyond "they are both linear equations".  This is misleading to a student, because the student could think "Oh, linear equations always have one solution." :) 

Re-arranging

x = y + 1
y = x + 1

 the problem is 

y = x - 1 
y = x + 1 

Same slope, different intercepts.  There are NO solutions to the set of equations given by JP. The answer you gave was incorrect. :(

anonymous · Answer

oh

anonymous · Answer

my bad!!!! sorry

anonymous · Answer

its cool...better than i could have done