Posted by SAMANTHA on Monday, March 8, 2010 at 8:38pm.
Beagleboy how do I explain that in 50 words?
Post your 50word response to the following:
Explain why the equation 6(x + 3) = 6x + 5 has no solution and 7x +18 + 8x = 8(x + 4) + 7x – 14 has infinitely many solutions.

ALGEBRA  SAMANTHA, Monday, March 8, 2010 at 9:12pm
Can anyone help me I need to explain this problem in 50 words.
Explain why the equation 6(x + 3) = 6x + 5 has no solution and 7x +18 + 8x = 8(x + 4) + 7x – 14 has infinitely many solutions.

ALGEBRA  Reiny, Monday, March 8, 2010 at 9:49pm
solving the first gives us
0 = 23 which is nonsense, thus no solution.
solving the second gives us
0 = 0 which is true, thus any value of x will work > an infinite number of solutions.
In general:
if the variable drops out, and
you end up with true statement > infinite number of solutions
if you end up with a false statement > no solution.
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