We can have different types of solutions to Linear Equations
Let us explore....
Solve: 2(x + 1) = 2x 3
Solve: 2(x + 1) = 2x 3 2x + 2 = 2x 3 2x 2x 2 = 3 Sometimes our equations do funny things and don't work out the way we are used to... Uh oh...
What does this mean?!?!?
It means... that if the variables in the equation are eliminated and the resulting statement is FALSE, then the equation has NO SOLUTION! We call this having zero solutions
Solve: 2(x - 1) - 4 = 2x - 6
Now what does this mean??
Another SPECIAL CASE!!!! If the variables in the equation are eliminated and the resulting statement is a TRUE statement, then the solution set is EVERY REAL NUMBER! Check it..... every real number will
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