Which of the following is an example of an equation with no solution?

Question

Responses

3x+4=3x+3
3
x
+
4
=
3
x
+
3
3 x plus 4 is equal to 3 x plus 3 -

3x+4=4x+3
3
x
+
4
=
4
x
+
3
3 x plus 4 is equal to 4 x plus 3 - no response given

4x+3=3x+3
4
x
+
3
=
3
x
+
3
4 x plus 3 is equal to 3 x plus 3 - no response given

3x+4=3x+4

Answer 1

To determine which of the given equations has no solution, let's analyze each one:

1. 3x + 4 = 3x + 3

   • Subtracting 3x from both sides gives: \[ 4 = 3 \]
   • This is a contradiction, indicating that there is no solution.

2. 3x + 4 = 4x + 3

   • Subtracting 3x from both sides gives: \[ 4 = x + 3 \]
   • Rearranging gives: \[ x = 1 \]
   • This has a solution (x = 1).

3. 4x + 3 = 3x + 3

   • Subtracting 3x from both sides gives: \[ x + 3 = 3 \]
   • Rearranging gives: \[ x = 0 \]
   • This has a solution (x = 0).

4. 3x + 4 = 3x + 4

   • This equation is identical on both sides, indicating: \[ 0 = 0 \]
   • This is an identity and has infinitely many solutions.

The equation with no solution is 3x + 4 = 3x + 3.

Answer 2

For Connexus Unit 5 lesson 7

1. 3x + 4 = 3x + 3
2. 3x + 4 = 4x + 3
3. The equation has infinite solutions.
4. The equation has one solution: x = 0.
5. The equation has no solution.

Answer 3

Based on your prompt regarding Connexus Unit 5 lesson 7, let’s summarize the equations you've provided and determine the number of solutions for each.

1. 3x + 4 = 3x + 3

   • Subtracting \(3x\) from both sides leads to: \[ 4 = 3 \]
   • This is a contradiction, which means that this equation has no solution.

2. 3x + 4 = 4x + 3

   • Subtracting \(3x\) from both sides gives: \[ 4 = x + 3 \]
   • Rearranging yields: \[ x = 1 \]
   • This equation has one solution: \(x = 1\).

3. The equation has infinite solutions.

   • An example of this type would be something like \(3x + 4 = 3x + 4\), which is identical on both sides.

4. The equation has one solution: x = 0.

   • An example of an equation with one solution could be \(4x + 3 = 3x + 3\), which simplifies to \(x = 0\).

5. The equation has no solution.

   • This applies to the first equation \(3x + 4 = 3x + 3\).

In conclusion:

• \(3x + 4 = 3x + 3\) → No solution.
• \(3x + 4 = 4x + 3\) → One solution: \(x = 1\).
• An equation like \(3x + 4 = 3x + 4\) has infinite solutions.
• An equation like \(4x + 3 = 3x + 3\) has one solution: \(x = 0\).

Make sure to understand the form of each equation and how to analyze them for solutions as that’s key in understanding their behavior.

Answer 4

Thank you! Did i spell Saxaphone wrong by the way?

Answer 5

Yes, "Saxaphone" is spelled incorrectly. The correct spelling is "saxophone." If you have any more questions or need further assistance, feel free to ask!