No Solution Equation

Does this equation have One, Many (infinite) or No Solution?

2x - 3 = 2x + 7

• One Solution

• Many (Infinite) Solutions

• No Solution

Answer explanation

When you subtract 2x from both sides of the equation, you get -3 = 7.   These values are not equivalent, so there is no possible solution here that would make this equation true.

Does this equation have One, Many (infinite) or No Solution?

5(2x -2) = 2(5x + 5)

• One Solution

• Many (Infinite) Solutions

• No Solution

Answer explanation

When solving this problem, once you eliminate the variable terms from both sides, you are left wiht -10 = 10, and this is NOT a true statement, meaning this equation has NO solution because there is no value that would make this true.

Which of the equations shown have no solutions?

• 3x – 1 = 3x + 1

• 2x – 1 = 1 – 2x

• 3x – 2 = 2x – 3

• 3(2x – 1) = 2(3x – 1)

• 3(x – 1) = 3x – 2

Answer explanation

In each of the correct responses, the values on either side of the equal sign are not equal to each other.

Does this equation have One, Many (infinite) or No Solution?

-2(x + 3) = -2x - 6

• One Solution

• Many (Infinite) Solutions

• No Solutions

Answer explanation

When you distribute -2 on the right side of the equation, the equation will read: -2x - 6 = -2x - 6

Because both sides of the equation are EXACTLY the same value, no matter what you put in for x, the values will always be equal. This means there is an infinite amout of solutions for this problem.

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

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

Does this equation have One, Many (infinite) or No Solution?

6(x - 11) = 15 - 4x

• One Solution

• Many (Infinite) Solutions

• No Solution

Answer explanation

You can solve this for one value of "x", meaning there is only one possible 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

-4(3x + 2) = 3(-4x + 5)

• No Solution

• One Solution

• Infinite Solution