Equations with No Solution or Infinitely Many Solutions
Read this topicExplanations 3
- Throughout our math lives, the goal has been to find answers: the value of xxx, the area of a circle, the length of a line. It seems logical, right? Every problem should have a …
By Hannah Bonville, Zora Gilbert, Alex Federspiel, Amy Feraco, Jonathan Heller, Anusha Rahman
- Infinitely many solutions: When both sides are the same Sometimes, equations might not have a single number as their solution. For example, some have no solutions, and others ma…
By Zora Gilbert, Alex Federspiel, Jonathan Heller
- (Videos) Linear Equations with No Solutions or Infinitely Many by MySecretMathTutor This video by MySecretMathTutor works through a problem that has no solution. Summary\large{\…
By Alex Federspiel, Zora Gilbert, Amy Feraco, Jonathan Heller, Anusha Rahman
Problems 22
- Does the equation x+6x+3=3x+3+2\frac{x+6}{x+3} = \frac{3}{x+3} + 2x+3x+6=x+33+2 have real solutions?
- How many solutions does the following equation have? 12x+7=24x+9.\frac{1}{2x+7} = \frac{2}{4x+9}.2x+71=4x+92.
- Find the value of kkk for which the equation x−1x−3=x−kx−8\frac{x-1}{x-3} = \frac{x-k}{x-8}x−3x−1=x−8x−k has no solutions for xxx.
- How many solutions does 2x+2=2(−1+x+2)2x+2 = 2(-1 + x + 2)2x+2=2(−1+x+2) have?
- x−1=2x+52x-1 = \frac{2x+5}{2}x−1=22x+5 Solve for xxx.
- (1)2x+1=2x−1(1) \quad 2x+1=2x-1(1)2x+1=2x−1 (2)4+5x=3x−1(2) \quad 4+5x=3x-1(2)4+5x=3x−1 (3)7x+5=7x−12(3) \quad 7x+5=7x-12(3)7x+5=7x−12 (4)6x+33=2x+1(4) \quad \frac{6x+3}{3}=2x+1…
- (1)2x+1=2x−1(1) \quad 2x+1=2x-1(1)2x+1=2x−1 (2)4+5x=3x−1(2) \quad 4+5x=3x-1(2)4+5x=3x−1 (3)7x+5=7x−12(3) \quad 7x+5=7x-12(3)7x+5=7x−12 (4)6x+33=2x+1(4) \quad \frac{6x+3}{3}=2x+1…
- Which equations yield infinitely many solutions? (1)2x=2x(1)\quad 2x = 2x(1)2x=2x (2)3x−3x=5−5(2)\quad 3x-3x = 5-5(2)3x−3x=5−5 (3)4x+1=4x−1(3)\quad 4x+1 = 4x-1(3)4x+1=4x−1
- 12=4x+22x+1\frac{1}{2}=\frac{4x+2}{2x+1}21=2x+14x+2 How many solutions are there?
- 2=4x+22x+12=\frac{4x+2}{2x+1}2=2x+14x+2 How many solutions are there?
- 3x+2=3x+43x + 2 = 3x +43x+2=3x+4 How many solutions are there for xxx?
- 2x+1+x=4x+2−x2x + 1 +x= 4x +2-x2x+1+x=4x+2−x How many solutions are there for xxx?
- 20x+10=20x20x + 10 = 20x20x+10=20x How many solutions are there for xxx?
- Which equation(s) have no solution? (1)x+5=x−3(1) \quad x+5=x-3(1)x+5=x−3 (2)2x+1=4x+1(2) \quad 2x+1 = 4x+1(2)2x+1=4x+1 (3)3x+1=6x+2(3) \quad 3x+1 = 6x+2(3)3x+1=6x+2
- Which equation(s) have no solution? (1)x+1=5x(1) \quad x+1 = 5x(1)x+1=5x (2)2x+5=4x−3−2x(2) \quad 2x+5=4x-3-2x(2)2x+5=4x−3−2x (3)x+2x+4=12(3) \quad \frac{x+2}{x+4} = \frac{1}{2}…
- Which equation(s) have infinitely many solutions? (1)x+5=x−3(1) \quad x+5=x-3(1)x+5=x−3 (2)2x+1=4x+1(2) \quad 2x+1 = 4x+1(2)2x+1=4x+1 (3)3x+1=6x+2(3) \quad 3x+1 = 6x+2(3)3x+1=6x+2
- The relationship between Celsius and Fahrenheit is: Tc=TF−321.8T_c=\frac{T_F-32}{1.8}Tc=1.8TF−32 Are Celsius and Fahrenheit ever equal? If so, at how many points at they equal?
- Which of the following equations do not have infinitely many solutions?
- Which of the following equations has no solution?
- 2x=43x\frac{2}{x}=\frac{4}{3x}x2=3x4 How many solutions are there to this equation?
- In this scenario, does Will catch John before John reaches the escape portal? Give an answer as well as a reason.
- Which of the following is not a solution to the following equation: 5xx=5\frac{5x}{x}=5x5x=5