Asked by lord lorde


3. What is a quick way to tell other 8th graders how to tell if an equation will have one solution, no solution, or infinite solutions? Explain how you know and why the equation will have the solution(s) that it does.

Help.
Answered by lord lorde
ms sue? anybody!
Answered by Ms. Sue
Sorry -- I don't know.
Answered by Reiny
If after simplifying you end up with an x term , you will have one unique solution
e.g. 3x + 9 = 24
3x = 15
x = 5

If after simplifying your x terms drops out and you end up with a true statement,
your equation will have an infinite number of solutions.
e.g. 4x + 6 = 2(2x+3)
4x + 6 = 4x + 6
0 = 0 , true, so infinite number of solutions

If after simplifying your x terms drops out and you end up with a FALSE statement,
your equation will have NO solution.
e.g. 2x+4 = 2(x+1) - 5
2x + 8 = 2x + 2 - 5
8 = -3 <------ FALSE, thus no solution
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