How do you know when an equation has infinitely many solutions?
How do you know when an equation has no solution?

1. 👍 0
2. 👎 0
3. 👁 158
1. If the variable drops out, and you end up with a true statement, then there is an infinite number so solutions,
if the end statement is false, there is not solution

e.g.

2x - 4 = 2(x-2)
2x-4 = 2x-4
0 = 0 ..... infinite number of solutions

2x-4 = 2(x-5)
2x-4 = 2x-10
-4 = -10 ... false!, no solution

1. 👍 0
2. 👎 0
2. Thank you

1. 👍 0
2. 👎 0
3. X^2+8x+10=0

1. 👍 0
2. 👎 0

## Similar Questions

1. ### math

(1)Is the Equation true, false, or open? 4y + 8 = 6y + 3 A. True; the expressionas are the same for all values of variables B. False; the expressions are never the same ****** C. Open; there is a varible (12)Which equation is an

2. ### math

Decide whether each equation has one solution, no solutions, or infinitely many solutions. 1. 2(x – 3) = 2x a.one solution b.no solutions c.infinitely many solutions 2. 3(y – 3) = 2y – 9 + y a.one solution b.no solutions

3. ### Quick Math

Solve the following equation 5(z-4)-z=4z-20 4 -4 Infinitely many solutions No solution I had found that the answer was 0=0, but what does that mean? I’m confused. Thank you in advance.

4. ### Math

1. Tell whether the system has one solution infinitely many solutions or no solution. 9x+8y=15 9x+8y=30 a. one solution b. infinitely many solutions*** c. no solution 2. Tell whether the system has one solution infinitely many

1. ### Math

How many solutions does this system have? x-2y=2 y= -2x+5 a. infinitely many solutions b. no solutions c. two solutions d. one solution ******

2. ### Algebra

How many solutions does this system of equations have? y = 4x + 3 and 2y - 8x = 3 One, two, infinitely many, or no solutions? My answer is no solutions.

3. ### math

How many solutions does the equation 4x + 2(x – 5) = 3(2x – 4) have? infinitely?

4. ### Math help

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.

1. ### Algebra

2. Solve the equation: 3 ( x -7 ) - x = 2x - 21 A) 7 B) -2 C) Infinitely many solutions D) No solution 3. Which equation is an identity? A) 8-(5x+2)=-5x-6 B) 7z+10-z=8z-2(z-5) C) 8m-4=5m+8-m D) 6y+5=6y-5 I think C B

2. ### math

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. I have no idea?

3. ### math

Determine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution. 3x − y = −3 6x − 2y = 8 a) one and only one solution b) infinitely many solutions c) no solution can

4. ### math

Decide whether each equation has one solution, no solutions, or infinitely many solutions. 1. 2(x – 3) = 2x one solution no solutions infinitely many solutions 2. 3(y – 3) = 2y – 9 + y one solution no solutions infinitely