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