All Real Numbers and No Solutions

Solve the equation.

• A

• B

• C

• D

Solve the equation.

• A (No Solution)

• B (Infinitely Many Solutions)

• C (x = 2)

• D (x = -9)

Solve the equation:
4 - 6x - 2= -2(3x-1)

• no solution

• infinitely many solutions

• x = ⅓

• x = 4

Based on this student's work, how many solutions should they choose?

• One Solution, because all equations only have one solution

• No Solutions, because 4=5 is false.

• Infinitely Many Solutions (all real numbers), because 4 & 5 are real numbers.

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

Fill in the blank with the proper answer choice that will result in the equation having no solution.

8x ​ (a)   = 8x - 6​

• -6

• -8

• 8x

• -8x

Complete the equation so the solution is NO SOLUTION.

3x + 10 = ​ (a)   +9

• 3x

• 2x

• 9

• 10

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

4(x + 4) = 4x + 16

• All Real Numbers

• No Solution

• Infinitely Many Solutions

• No Solution

• x = -1

• x = 1