No Solution or One Solution

What is the solution to this equation?

• one solution

• no solution

• infinite solutions

• none of these

Solve:
2x + 1 = 2x - 1

• No Solution

• x = 0

• Infinitely Many Solutions

Simplify each equation. Tell whether the equation has one, no, or infinite solutions.

3x - 8 = 3(x - 4) + 1

• one

• no solutions

• infinite solutions

14 - 2 ( 3p + 1) = 6 ( 4 + p)

• No Solution

• One Solution

• Infinite Solutions

What is the solution to this equation?

• one solution

• no solution

• infinite solutions

• none of these

a and b are constants. If the equation has no solution, which of the following statements must be true about a and b ?

• a does not equal 3 and b does not equal 4

• a = 3 and b does not equal -4

• a = 3 and b = -4

• a = 3 and b = 4

Select the letters that identify whether each equation has no solution, one solution, or infinitely many solutions. Only 1 letter corresponds to each equation.

• A, E, I

• B, D, G

• B, F, H

• C, D, H

For which value(s) of k will the pair of equations kx + 3y = k – 3 12x + ky = k have no solution?

• 6

• −6

• ± 6

• 4

• The solution is x=0.

• The solution is the ordered pair (4,7).

• There is no solution since 4=7 is a false statement.

• There are infinitely many solutions since 4=7 is a false statement.

For what value of k will pair of equations have no solution? 3x+y=1 , (2k-1)x+(k-1)y=2k+1

• 1

• 2

• 3

• 4