Posted by **SAMANTHA** on Monday, March 8, 2010 at 8:38pm.

Beagleboy how do I explain that in 50 words?

Post your 50-word 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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