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.
Answers
                    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
    
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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