Create your own two-step equation with NO SOLUTION as the solution. Show the steps to solving the equation and explain in words why your work proves that there are NO SOLUTIONS.

Question

inkyvoyd · Answer

y=ax+b
y=ax+c
Where a, b, and c are constants, and b=/=c

inkyvoyd · Answer

Then, rearrange the two equations so they look unalike.

anonymous · Answer

still not getting this :/

inkyvoyd · Answer

Sorry, I read the problem wrong.

anonymous · Answer

oh okay lol i was sooo confused

inkyvoyd · Answer

make an equation of the form ax+b=ax+c
b=/=c
There is no solution to this equation because the ax's cancel out.

anonymous · Answer

can you rewrite that

inkyvoyd · Answer

Basically we want to make an equation with no solution as the result. In other words, we wind up with two constants, (let's say b and c), and these constants are not equal.
Start with 
b=c (not true, but we are working backwards)
ax+b=ax+c (still not true, but this is what the question was asking)

anonymous · Answer

ohhh so all i need to do is make a contradiction!

inkyvoyd · Answer

in a way, yes.
Let me give you an example.
If we have 3x+5=3x-2
It looks at first that we can solve the equation. But then we cancel the x's out
5=-2 This is obviously wrong