*Inverse of mult. by 10 is div. both sides by 10
*Inverse of add. 5 is sub. 5
*Inverse of mult. by -1 is div. by -1
*Get all x terms on one side
*Inverse of sub. 16 is add. 16
*Inverse of mult. by 4 is div. by 4
*Get all the x terms on one side
Whenever your variable drops out AND you end up with a FALSE statement, then after all of your hard work, there is NO SOLUTION.
So, the answer is no solution which means this is an inconsistent
equation.
*Get all the x terms on one side
*Inverse of add. 2 is sub. 2
*Inverse of mult. by -3 is div. by -3
This would be an example of a conditional equation, because we came
up with one solution.
*Get all the x terms on one side
Whenever your variable drops out AND you end up with a TRUE statement, then the solution is ALL REAL NUMBERS. This means that if you plug in any real number for x in this equation, the left side will equal the right side.
So the answer is all real numbers, which means this equation is an
identity.
Last revised on Dec. 16, 2009 by Kim Seward.
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