SOLUTION: Is it true that the equation ax=bx has no solution because 'a' does not equal 'b' for all 'a' and 'b'?

SOLUTION: Is it true that the equation ax=bx has no solution because 'a' does not equal 'b' for all 'a' and 'b'?

Algebra.Com

Question 1066777: Is it true that the equation ax=bx has no solution because 'a' does not equal 'b' for all 'a' and 'b'?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
ax = bx

ax-bx = bx-bx

ax-bx = 0

x(a-b) = 0

If a is not equal to b, then the only possible solution is x = 0.

So saying "ax = bx has no solution" is false because x = 0 is a solution.
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