algebra
posted by lilmissluck .
o How do you know when an equation has an infinite number of solutions?
o How do you know when an equation has no solution?

algebra 
Reiny
If after you perform all proper steps and simplifications, the variables drop out and you end up with a TRUE statement, then there is an infinite number of solutions.
If after you perform all proper steps and simplifications, the variables drop out and you end up with a FALSE statement, then there is no solution.
e.g.
(x+1)^2 = x^2 + 2x + 1
x^2 + 2x + 1 = x^2 + 2x + 1
1=1 true, thus infinite numer of solutions
e.g.
3(2x + 5) = 6x+1
6x + 15 = 6x+1
15 = 1  false, therefore no solution.
Respond to this Question
Similar Questions

Algebra
Make a conjecture about the solution of a system of equations if the result of subtracting one equation from the other is 0 = 0 A. There are no solutions b. there are infinite number of solutions c. Cannot determine any solution d. … 
Math2 questions
Describe the number of solutions for the equation. 5(x – 9) = 5x no solution one solution infinite solutions –2(x – 1) = 2x – 2 (1 point) infinite solutions one solution no solution 
PreAlgebra
Equation M: y = 3x + 4 Equation P: y = 3x + 7 Which of the following options is true about the solution to the given set of equations? 
Mathxxx!!!
1. How many solutions does the equation have? 
Please Math
8. p + 4 < –24 p < –20 p < 28 p < –28 p < 20 9.p/8 ≥ –5 p ≥ 40 p ≥ 3 p ≥ –13 p ≥ –40 10. –5p > –30 p > 6 p < 6 p > –35 p < 35 11. Which inequality matches … 
Math Please help me and fast
13. Describe the number of solutions for the equation. 10(x2)=10x A.) one solution B.) no solution C.) infinite solutions*** 14. Describe the number of solutions for the equation. 2(y3)=2y6 A.)one solution B.)no solution*** C.)infinite … 
ALGEBRA CHECK ANSWERS
Solve each equation by graphing the related function. If the equation has no realnumber solution, write no solution. NOTE: when I write + it has a minus on the bottom too x^2+7=0 a. x= +7 b. x = +3.5 c. x= 0 d. no solution *** 3x^2=0 … 
pre algebra
1. Solve the equation. –9v – 5 = –95 (1 point) 17 11 10 –10 2. Solve the equation. x over four – 5 = –8 (1 point) –27 –12 –7 12 3. Solve the equation. p over five + 6 = 10 (1 point) 44 30 20 –20 4. Solve the equation. … 
Math help please!
Write an equation with a variable on both sides of the equal sign that has infinitely many solutions. Solve the equation and explain why it has an infinite number of solutions. Okay so that is the question, I know it's already on Jiskha … 
Algebra
Write an equation with a variable on both sides of the equal sign that has infinitely many solutions. Solve the equation and explain why it has an infinite number of solutions. Okay so that is the question, I know it's already on Jiskha …